{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['font.family']='SimHei'\n",
    "plt.rcParams['axes.unicode_minus']='False'\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-12.56637061 -10.99557429  -9.42477796  -7.85398163  -6.28318531\n",
      "  -4.71238898  -3.14159265  -1.57079633   0.           1.57079633\n",
      "   3.14159265   4.71238898   6.28318531   7.85398163   9.42477796\n",
      "  10.99557429]\n",
      "['$-4\\\\pi$', '$-\\\\frac{7\\\\pi}{2}$', '$-3\\\\pi$', '$-\\\\frac{5\\\\pi}{2}$', '$-2\\\\pi$', '$-\\\\frac{3\\\\pi}{2}$', '$-\\\\pi$', '$-\\\\frac{\\\\pi}{2}$', '0', '$\\\\frac{\\\\pi}{2}$', '$\\\\pi$', '$\\\\frac{3\\\\pi}{2}$', '$2\\\\pi$', '$\\\\frac{5\\\\pi}{2}$', '$3\\\\pi$', '$\\\\frac{7\\\\pi}{2}$']\n"
     ]
    }
   ],
   "source": [
    "def getTicks():\n",
    "    ticks=np.arange(-np.pi*4,np.pi*4,np.pi/2)\n",
    "    labels=[]\n",
    "    for i in range(-4*2,4*2):\n",
    "        if i%2==0:\n",
    "            labels.append('0' if i==0 else '$'+str(int(i/2)).replace('1','')+'\\pi$')\n",
    "        else:\n",
    "            labels.append('$'+('' if i>0 else '-')+'\\\\frac{'+str(abs(i)).replace('1','')+'\\pi}{2}$')\n",
    "    return ticks,labels   \n",
    "\n",
    "tk,lb=getTicks()\n",
    "print(tk)\n",
    "print(lb)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgoAAAIZCAYAAADHgxdgAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAACYuUlEQVR4nOzdd1yV5f/H8dcBDktEQBARMfcWJ+a2zFEqiqNEy9SynJVmy75qWmZaZsucOTK1TDMtzRzlyNxbxJniHqAIKHA8wP374/6dQyYowjncZ3yej4cPD4dz7vO+OHDO51z3NXSKoigIIYQQQuTAResAQgghhLBdUigIIYQQIldSKAghhBAiV1IoCCGEECJXUigIIYQQIldSKAghhBAiV1IoCCGEECJXUigIIYQQIldSKAghhBAiV1IoCCHyLSMjg507d2IwGPJ0+6SkJDZs2MDNmzfNXy9btozLly9bMaUQoiCkUBDCwaWlpZGVlZWn2xqNRlJTUwG4du0ae/bs4fDhw8TExBATE0NiYuJdtz99+jSNGzdm48aNeTr+sWPHaNOmDadPnwbgypUrPP300xw6dOiB9+3atSsTJ06867rNmzdTpUoVNm7cSEZGBhcvXsxTDiFE3kmhIISDq1WrFq6uruh0ugf+c3d3p169egCsXbuWDh060LFjRzp27Ejt2rVZvXo1aWlpGAwGFEWhcuXKdOzYkZSUFEDtYUhNTcVoNOaYxdvbGwA/Pz8AihQpAoCHh8d923Ds2DFWrFhBeHj4XdcXK1aMEydOEBAQwNSpU2nUqBFXrlzJ989KCHEvN60DCCGs688//8TNzQ0Xl7s/F9SoUYMxY8bQo0cP83WZmZnm3ofevXvTu3dv8/cCAwPx8fGhS5cu7NixA71eT3p6OkWKFGHXrl288sorGAwG0tLSmDlzJn369Lkni06nA7gny4O8//779OvXj/bt25OSkkLRokWB7ILD29ubV199lR07dnDs2DFKliz5UMcXQuROCgUhHFyZMmVyvF6n01GsWLGHelN1cXHh999/B9TTFKGhoXz++edER0fnePutW7fSvHlz9Ho9Li4umDarrVKlirloAGjbtq25eDAYDEyaNIm33noLUE8vbNiwgdjYWOLi4qhVqxbz58+nW7du5vvfunWL/fv307p1a2bOnMm3337LvHnz8twuIUTu5NSDECJHmZmZd52WuH79OpmZmebv//zzz/j5+dGpUycActqx3tPTE4B169aRnp7O3r17ATh+/Djp6emcOnXqru/funULyD4VcezYMXr16sWkSZPw9PRk/PjxlCtXjuLFi/PJJ58wYsQIAB599FH69evHX3/9Ra1atXjmmWes9FMRwvlIj4IQTuCDDz7gxx9/5PDhw/e9XUZGBoqioNfrzTMZzp07h7+/PwBeXl4AZGVlMX78eKZPn24ed9CzZ0+aNm3KK6+8Yj6eq6trvvKa7rd161YuXbrECy+8wODBgzEajezatYu//vqL7du307x5c1asWMHq1atp06aN+f537twhMTHRnFsIkX/SoyCEEzAajSQnJ99zfb9+/e7qNdDr9YwbNw5QZ0sAlChRAh8fH3x8fMxv4NOmTaNSpUo88cQTAJw4cYLly5cTEBBw1/H/fXohP3r16sWmTZu4desWzz77LK+++ir16tXjtddeY/ny5QwfPhx/f39iY2NZuXIlH3zwAU899RT+/v58+eWXBXpsIYRKehSEcAIuLi45vml//vnndw1mTEtLw8fHB4Dr16/j4uKC0Wg0z2Lw9PRkxYoVvPHGG8ybN49t27aRnp7O+PHjeeedd3j22WdzfHzTGIS8jFH4N29vb1q2bMmmTZv4448/iImJAdQBmosWLSI2NpabN2/yv//9j/DwcMLDw4mMjGTUqFHUrl07nz8tIcS/SaEghBO732DGhIQEsrKyzDMMAH788UcuXbqEwWBg0KBBhISEkJCQQOPGjc09ETlZt24djz32GDExMdSqVYvjx49TtmxZLly4QFhYmPn7GRkZ6PX6u+67b98+oqOjmTVrFmlpaZw9e5Y7d+5QpkwZunTpwq+//kpiYqI5W3R0NI0aNTIXPEKIgpFCQQiRoyZNmtw1QLFo0aKEhITw5JNP8vTTT1OqVCnOnDlD//79Wbx4cYFPM+REURQ6duzI1atX6dq1K6DO4jh9+jRPPvkkoJ5WGTJkCPHx8URFRREfH28eFCmEKDgZoyCEeKDMzExu375NYGAgRYsWpVSpUiQkJDBo0CAWLFiAj48PZ8+epUaNGhZdHVGn0/HNN9+wefNmc0+CaVVHk7Zt25KcnEzNmjW5ffs227Zto0WLFhbLIISzk0JBCPFA169fR1EUSpQoAcDJkyfp2LEjEydOJDQ0FIBHHnmEoKCguwYR5jRl8mG1b9+eWrVqceHCBWbOnEnfvn35+OOPzd/fu3cver2e+Ph4li9fTkhIiPQoCGFBcupBCAe2b98+PD09SUhIwGg0cuzYMfP3MjMzuXz58l3XZWRkcOfOHUJDQwkODub27dukp6fz888/4+PjQ0BAAAsWLGDw4MH4+fkxYMAAEhMTuXnzJklJSbi5uXHo0CHGjh2Ll5cXGRkZwMMPZjStDnno0CFatGhBUlISAQEBNGvWjCZNmphXaPzwww+ZMmUKw4YNY8WKFbz11lv89NNPfPjhh+zZs4f169db9ecrhDOQQkEIB/bYY48B2UsmN2rU6K7vT5o0iUmTJpm/VhSFO3fuMHHiRF577TXz6QSdTmde3Cg4OJjnnnuOunXrUqFCBUqVKkXJkiXx8/Pj5s2blCxZknXr1tG5c2fzWgymwYoPYhrMmJ6eDkB4eDhjx46lfv36NGnSxDw987333uOrr77Cy8uLX3/9lXbt2vHiiy/SokULatSowYULFxgwYECBfnZCCJVOsUTfoBDCYW3YsIHw8HDzaYcHuXr1KsHBwVbN9Msvv7Bt2zbeffddfH19zdefPn2aoUOH4uLiwpIlS8ybTgkh8k8KBSGEEELkSgYzCiGEECJXUigIIYQQIldSKAghhBAiV3Y96yErK4tLly5RtGhRq6wKJ4QQQjgqRVFISUmhVKlSOe61YmLXhcKlS5cICwvTOoYQQghht86fP0/p0qVz/b5dFwqmzWrOnz9/1xSpgjAajaxbt462bdveszmNvXK0Njlae0DaZC+kTfbB0dpkrfYkJycTFhZ218ZvObHrQsF0usHX19eihYK3tze+vr4O8QsGjtcmR2sPSJvshbTJPjham6zdngedupfBjEIIIYTIlRQKQgghhMiVRQuF69evU65cOeLi4vJ0+82bN1OtWjUCAwOZMmWKJaMIIYQQwgIsVigkJCTQsWPHPBcJ8fHxdOrUiZ49e7J9+3YWLVrExo0bLRVHCCGEEBZgscGM0dHRREdHs2PHjjzdftGiRYSEhDB69Gh0Oh1jxoxhzpw5PP7447nex2AwmHejA3XEJqgDPYxGY8Ea8P9Mx7HU8bRw7hzs2KFj3z4dV6/qSErSkZRUnz//hOrVM2jZUqF8ebDXpScc4Tn6L2mTbUpLgy1bdBw8qOP0aR0JCTquX2/Azz/rqFkzk9q1FZo0UXB31zpp/jnC8/RfjtYma7Unr8ez2KZQp0+fpnz58uh0Os6cOUPZsmXve/t+/frh5eXFtGnTALh8+TJPPPEEsbGxud5n7NixjBs37p7rFy9ejLe3d4Hy27u0NFc2bgxj48YynDzp/8Dbh4Tcom3bszzxxDl8fe8UQkIh7IOiQGxscX79tTz79pXgzp37f54qUuQOjRpdpn37M1SokFRIKYUouNTUVHr16kVSUtJ9Zw5afPfIvBYK3bp1o1GjRrz55psA3L59m1KlSpGUlPsfWk49CmFhYSQkJFh0euT69etp06aNXUyruXMHZs924aOPXLh2Te0icHVVqFNHoWFDhbAwKFIkk/37T1C0aBX273dl504dRqN6Wy8vheHDs3jjjSx8fLRsSd7Z23OUF9Im27Bjh4433nBh167ss7KhoQotWihUqKBQvHgmR44cJyioKkePurJ9u9prZ/LUU1l88EEm4eFapM8fe3yeHsTR2mSt9iQnJxMYGPjAQkGzdRTc3Nzw8PAwf+3p6Ulqaup97+Ph4XHXfUz0er3FfxmscUxL27cP+vSBmBj16woVYMgQ6NVLR3Bw9ouX0ZjFb7/9Q/v2VdDrXbh1C5YsgWnTYN8+HRMmuDJ/vitz5sCTT2rUmHywh+foYUmbtJGUBK+/DnPnql97eKh/WwMHQp06OvM8c/Vv6TTt21dFr3chMxO2boXZs+H772HNGhfWr3fhrbdg9Gjw9NSwUQ/JHp6nh+VobbJ0e/J6LM2mRwYEBBAfH2/+OiUlBXd7PtFXiBQFPv4YHn1ULRKCgmDGDDh6FIYPh+Dg+9/fxwdefBH27IFly6BcObh0CZ56Sr3/vzpthHB4+/ZBvXrZRcILL8DZszBzJtSte/+xPK6u0LIlLFwIx45B166QkQETJqh/n6dPF04bhLAmzQqFiIiIuwY+HjhwgNDQUK3i2I20NHjuOXj7bfUFqVs3OHIEBgyAhy00dTr1/rGx8Oqr6nWffw5t2sCNGxaPLoTNWbgQGjdW39DLllV7B+bMeXCxnZNKleCnn9R/JUrAoUPQoAGsW2fx2EIUKqsXCsnJyTmOrOzUqRNbt25l48aNZGRkMHnyZNq1a2ftOHbt5k1o3RoWLwY3N5g+HZYuVXsUCsLTE774AlatAl9f+OsvaNIEzpyxSGwhbNLkydC7tzrOp3NntWehadOCH7drV9i7Fxo2hMRE6NABfvih4McVQitWLxTCw8NZvXr1PdcHBgby6aef0q5dO0JCQoiJiWHUqFHWjmO3btxQP+lv2wb+/uqnlIEDLTvFsUMH+PtvCAuD48fVLlUpFoQjGjUK/n8cNSNGwPLl6t+VpZQuDVu2QK9eas9fr17qOAYh7JHFBzP+dxLF/RZgGjx4MG3btuXo0aO0bNnSYjMXHE1SktqTsH8/BAbChg1Qu7Z1HqtmTdixA1q1UouFxx+HzZvhkUes83hCFLYJE+DDD9XLH3+cXTBYmocHfPed2ks3Ywa8/DJ4eamnDoWwJ5rv9VCxYkUiIyOlSMiFwQBduqhFQokSsHGj9YoEk1Kl4M8/1XOuZ89C27Zw/bp1H1OIwvD11/C//6mXP/nEekWCiYuLOrvINAaob1/IoYNVCJumeaEgcpeVBf36qcWBjw+sWaN+4i8MpUqpj1umDJw4oRYrMhtC2LM1a7LfsMeMgTfeKJzH1engs8/UnoTMTOjeXZ1xJIS9kELBhn30kTo3281NPYdar17hPn5oKPz2W/YAx/791amZQtibmBjo0UMtvvv3h7FjC/fxXVzU6ZdPPQXp6RAVBVeuFG4GIfJLCgUbtWaNumALqLMb2rTRJkeNGup0L1dXdSrZ/6+4LYTduHlTndWQkqIO0P36a232OdHr1cK/alW4eFGdHSG9dMIeSKFgg86cUUdJK4o6AKp/f23ztG6tns8FdUGmPO77JYTmFEVdQMm0TsJPP6HpBk7FisHKleDnB9u3wzvvaJdFiLySQsHGmKZS3bypruz25ZdaJ1ING6aeWzUa4Zln1PnhQti6L7+En39Wi4OlS6F4ca0TQeXK6mwIUBc4+/VXTeMI8UBSKNiY999XP7EXK6bux5DD1haa0OnUc6yVKsH58+qeEkLYskOHsmc1fPqpukqirejYUS2+QZ0JceGClmmEuD8pFGzI339nz++eMcP21i4oWlQdp+Dqqp5rXbxY60RC5MxgUFddNBrV8Qm2WNhOnAj166uLqclAYWHLpFCwEWlp6lTIrCx4/nmIjtY6Uc4aNlSnlgEMHqwOyhLC1owdq/YoBAbCrFnaDF58EA8PtfD28IC1a9U9JoSwRVIo2IgxY+DkSXX9gi++0DrN/b37rjp+IilJLRbkk5CwJbt3qysugloklCihbZ77qVo1uxfx9dfh3Dlt8wiREykUbMCuXTBlinp55kx1RLQtc3NTP/3o9fDLL+ogMSFsQUaGOlMoK0sdFNyli9aJHmzYMHUTtpQUGDRICm9he6RQ0Ni/X9iefVYd5GQPatSAkSPVy6+8IttSC9vw+edw4AAEBKirIdoDV9fswvu339QpnELYEikUNPb113DwoLpznb28sJm8+y5UqwbXrqm78Qmhpbi47PEzkyfb9imH/6paNXtNhddeg+RkbfMI8W9SKGjo0qXs1RcnToSgIG3zPCwPj+yVGmfMgH37tM0jnNuIEeqg4JYt1SmH9ubdd6FCBfV1wVTwCGELpFDQ0JtvquclGzbUfvXF/HrsMXWGhqKoU9CysrROJJzRhg3qfiiurjB1qm3OcngQT8/swnvqVIiN1TaPECZSKGhkxw51HQKdTn1xcLHjZ2LyZHV3yx07YNEirdMIZ2M0Zu8KOWRI4e2wag1t26rrPmRmqsuly8BGYQvs+O3JfinK3auy1a+vZZqCCw3NHqMwapS6O54QhWXmTDh6VF0zYdw4rdMU3OTJ6pLT69bB6tVapxFCCgVNfP897NwJRYpkz6G2d6++CqVLq/PAv/5a6zTCWaSkqMueg/q/rU8tzouKFdXeBIA33lBnRgmhJSkUCpnBoA5aAnV6YUiItnksxcsr+wX7ww9l0yhROKZMgfh4dQ8Sex3nk5N331U3sDp+HL79Vus0wtlJoVDIZs+Gs2fVAsH0qcFRPP+8en44MRE++kjrNMLRXbumdtODWpzq9drmsSRf3+wPFGPHyuk8oS0pFArR7dswfrx6efRo8PbWNo+lubqq0zxB3d5XlqMV1jR+PNy6pe4K2b271mksb/Bg9XTehQvZsyGE0IIUCoVo6lS4ehXKlYMXX9Q6jXW0b6/OYzcYZC64sJ7Tp9W1O0AtTu1xOuSDeHqqvQkAEybIIkxCO1IoFJKbN2HSJPXy2LHqqGZHpNNlb8izYIG66qQQljZmjDotsm1beOIJrdNYT58+UKUKXL+evR+MEIVNCoVCMmWKeu6+WjV1TwdH1rAhPPOMOg3UtPKkEJZy4IC6Bglkn+pyVG5u8MEH6uVPP1UHbgpR2KRQKATx8dn7OHzwgXou39G9/77au/Drr7B/v9ZphCMZM0YtQqOjoW5drdNYX7du6lort26ppyCEKGxSKBSCiRPVP/L69aFrV63TFI4qVdQXcsgewClEQR04oBafLi6OsbhSXri4ZBcI06bBxYva5hHORwoFK7t8OXsBovHjHXPQVW7+9z+1vcuXQ0yM1mmEIzC9YfboAZUra5ulMLVpA82awZ076ikIIQqTFApW9tln6gyAxo2hXTut0xSuGjXUblOQXgVRcEePwrJl6mXTGgPOQqdTC29Ql6xOSNA2j3AuUihYUWIiTJ+uXn73XefqTTAx7QHx449w7Ji2WYR9mzBBHZvQpYt9b/yUX+3aqacvU1Ph88+1TiOciRQKVjR1qjo2ITwcOnTQOo02ateGqCj1Bd5R9rUQhe+ff7JnOpg+WTsbnS67J2XqVEhK0jaPcB5SKFjJrVvZVf/Ikc7Zm2Bi6lVYvBhOntQ2i7BPEydCVhY89ZT977ZaEFFRUL26WiTI5muisFisUIiJiSEiIgJ/f3/efPNNlDxspB4ZGYlOpzP/a926taXiaG72bLhxAypUcMzlZR9G/fpqj0pWlkzvEg/v3LnsjZGcfV0OFxf1gweo459u39Y2j3AOFikUDAYDkZGR1K9fnz179hAbG8v8+fMfeL+9e/dy+PBhEhMTSUxMZOXKlZaIozmDIXtk8ttvq4umODvTC/zChera9ULk1ccfq6swtmqlDgp2dtHRUL68OqBx9myt0whnYJG3sDVr1pCUlMSUKVPw9vZmwoQJDBkyhH79+uV6nwsXLqAoCjUfYlSSwWDAYDCYv07+/8XPjUYjRqMx/w34F9NxCnK8+fN1XLzoRqlSCj17ZmChaPlmiTYVVL160KKFK1u2uPDZZ5lMnJiV72PZQnssTdqUs/h4mDPHDdDx9tsZGI0P7qm0Jlt5nt54Q8fgwW5MnqzQv38GHh75P5attMmSHK1N1mpPXo+nU/JyjuABxo0bx86dO/ntt98AUBSF4sWLc+PGjVzvs3z5cgYOHIi7uzuJiYlERkYyffp0/P39c73P2LFjGZfDKiuLFy/G20a2YszMhKFDn+DyZR9eeOEwnTqd1jqSzdi9O5gPP2yEt7eRb75Zh7d3htaRhI374Ycq/PBDVSpWTOSTT7Y49ViffzMaXRg4sDXXr3sxdOh+WreWrVrFw0tNTaVXr14kJSXh6+ub6+0sUiiMGDGC9PR0vv7X6JqgoCBOnDiR6xv/xIkT2bx5M5MnT8bFxYV+/fpRt25dppvmE+Ygpx6FsLAwEhIS7tvIh2E0Glm/fj1t2rRBn48N7pct09GrlxsBAQqnTmXg42ORWAVS0DZZSlYW1K7txvHjOj7+OJNhw/LXq2Ar7bEkadO90tKgYkU34uN1fPddBj16aNubALb1PE2Z4sI777hSvbrC/v0Z+S6ibKlNluJobbJWe5KTkwkMDHxgoWCRUw9ubm54/Kfvy9PTk9TU1FwLhXfeeYd33nnH/PWkSZPo3r37fQsFDw+Pex4HQK/XW/yXIb/H/PJL9f8hQ3T4+9vWL6g1fk4P6803oX9/+OorV4YNc6UgcWyhPZYmbco2f7566qFMGYiOdrOpsT628DwNGKAuZBYbq2PTJj1t2xbseLbQJktztDZZuj15PZZFBjMGBAQQ/59tzVJSUnB/iL2U/fz8SEhIuKvHwN5s3w47dqhbSA8ZonUa2/TssxAcDOfPq4swCZGTrKzsAcHDhsmA4Jz4+cGLL6qXZVlnYU0WKRQiIiLYsWOH+eu4uDgMBgMBAQG53qd79+533Wf37t2ULFkyxx4De2HaIdL0Ziju5ekJr7yiXp48WV2ISYj/+u03OH4cfH2z3wzFvV57TZ0yuW6d7KcirMcihUKLFi1ISkpiwYIFgDr+oHXr1ri6upKcnJzjyMrw8HCGDx/Ozp07WbVqFaNHj2bw4MGWiKOJuDj46Sf18vDhmkaxeYMGgbe3uhPgn39qnUbYItMn5AED1GJB5KxcuewdaU0fVISwNIsUCm5ubsyaNYuBAwcSHBzMsmXLmDhxIqAWBKtXr77nPiNHjqR69eq0adOGYcOGMWjQIEaaVhKxQ199pXaXtm4NtWppnca2BQRkf0r85BNtswjbs3cvbNqknm549VWt09i+119X/1+4EK5c0TaLcEwWW5kxKiqKkydPMmvWLI4ePUqNGjUA9TREVFTUPbfX6/XMmTOH5ORkTp06xZgxY3Cz0xORycnwzTfqZdMfrbi/YcPULtO1a+HIEa3TCFti6k3o0QNKl9Y2iz1o3Fj9d+cOTJumdRrhiCy610NoaCidO3cmKCjIkoe1eXPnqsVC1arOt5V0fpUvr65bD2pvjBBw9yDXESO0zWJPTB9Qpk1Tp5UKYUmyKVQBZWbCF1+ol4cPVz8li7wxdSt/9526JbcQ06erf1MtW0LdulqnsR9RUVC2LFy/Dv8/VEwIi5G3tQJasUIdyFi8OPTurXUa+9KihboFd2qq2isjnFt6evbeBTI24eG4uakzIEDtoZPZRMKSpFAoINMCSwMHgpeXtlnsjU6XPVVy6lT1k6RwXj/8oG50FBYGnTppncb+9O0LRYqoY342bdI6jXAkUigUwOHDsGULuLqqU/7Ew+vVS50FERcHq1ZpnUZoRVGyx6oMHiwLLOWHn192r+bUqZpGEQ5GCoUCMG1t0bUrhIZqm8VeeXvDSy+pl2VQo/Pavh327QMPD3WJb5E/Q4eq/69YAedknyhhIVIo5NPNm+ogPMj+4xT5M2iQOgj0jz9kqqSzMhWJzz4LgYHaZrFnNWrA44+ra7rMmKF1GuEopFDIp/nz1UF4NWtC8+Zap7FvjzwiUyWd2aVLsGyZetk0ZkXkn+lnOHu2OkBUiIKSQiEfsrKyTzsMHUq+t3cV2WSqpPOaORMyMqBZM6hTR+s09i8yUh0QmpAAS5ZonUY4AikU8mHdOjh1CooVU7tKRcH9e6rkvHlapxGF5c4dtVAA6U2wFDc3dUAoyFRJYRlSKOSDaURxv37g46NtFkeh02W/uM2YIS9uzmLZMrh6VR0M3KWL1mkcR//+6sDQvXth506t0wh7J4XCQ/rnH3ULXMh+YxOW8eyzULQonDwpu0o6C9OAu5dfBr1e2yyOJDAQevZUL8u4H1FQUig8pOnT1U+77dpBpUpap3EsPj7Z88CnT9c2i7C+I0fgr7/UdUhkSqTlmWZjLV0K165pm0XYNykUHkJaWvb58yFDtM3iqEwLV61YoY6GF45r1iz1/06doFQpbbM4ovr1ISICjEZ1lpYQ+SWFwkNYtgxu3IAyZaB9e63TOKaaNdXR75mZ2Vt3C8eTmgrffqteHjBA2yyObOBA9f+ZM9XZWkLkhxQKD8E0Ovull9TuUmEdpl6FWbPUaXPC8fz4IyQlQbly0KaN1mkcV48e6uys06dhwwat0wh7JYVCHh0+DH//rRYIL76odRrH1q2bOhjr4kXZ/8FRmQYxDhggW7NbU5Ei8Pzz6mUZ9yPyS/5E88jUmxAVBSEhmkZxeB4e8MIL6mV5cXM8Bw6oU/b0enWKsbAu0+mHX3+FCxe0zSLskxQKeXD7dva+DnI+tXAMGKCurWBa3Eo4DlPR3bUrlCihbRZnUL26uqBZZibMmaN1GmGPpFDIgx9+gORkqFABnnhC6zTOoXx5dQoqZL+xCPuXkgILF6qXpeguPKZehdmzZdyPeHhSKOSB6Y1KzqcWLtOgxnnzZHMbR/H993DrFlSuDI89pnUa59G1KwQFqeN+Vq/WOo2wN/K29wB798Lu3eDuDn37ap3GuXTooG5uc/169u6Cwn4pSvYgxoEDZTO1wiTjfkRBSKHwAKbehG7d1IpcFB5XV3VpX5AXN0ewezfs36++afXpo3Ua52P6W1q7Vp0uKUReSaFwH8nJsHixetl0jk8Urv791d3wtm2DQ4e0TiMKwlR0P/MMBARom8UZ/Xvcj2lVTCHyQgqF+1i0SJ3xUK0aNG+udRrnVLJk9q6C0qtgv27eVMcngAxi1JLpA8/cuWAwaJtF2A8pFHKhKHcPYpTzqdoxDWpcuFAdNS/sz3ffqXul1KwJTZponcZ5deyobukdHw8//6x1GmEvpFDIxa5dOg4eBE/P7JXNhDYee0wdJX/rVvanUmE//l10yyBGbbm5qUvQg/TQibyTQiEXs2apP5oePcDfX+MwTk6ny+6unjFDfeMR9mPbNh1HjoC3Nzz3nNZpRP/+6kDhLVsgNlbrNMIeSKGQg1u39Cxdqn7skUGMtqFPH3W0/P79sHevfCS1J7Nnqy8zPXuqGxQJbYWGQmSkelkGNYq8kEIhBxs3hpGeriM8HB59VOs0AqB4cXj6afWy6Y1H2L7kZHd++kkt7GQQo+0wPRfffquOHRHifuQV9z8UBdauLQvI+VRbY3pxW7JEx+3bbtqGEXny559hGAw66tWDBg20TiNM2raFsmXV2Sim3lMhcmOxQiEmJoaIiAj8/f158803UfJwInnz5s1Uq1aNwMBApkyZYqkoBbJ1q44LF4pSpIjCs89qnUb8W9Om6gY3qak6Nm8O0zqOeABFgXXrygJSdNsaF5fsBZi++UY+L4r7s8hviMFgIDIykvr167Nnzx5iY2OZP3/+fe8THx9Pp06d6NmzJ9u3b2fRokVs3LjREnEKxDSIMTpawddX4zDiLjpd9piR338vK4MabdymTTouXfKhaFGFnj21TiP+q18/dRbEjh0uxMXJi50t0/q1ziL9t2vWrCEpKYkpU6bg7e3NhAkTGDJkCP3us9n8okWLCAkJYfTo0eh0OsaMGcOcOXN4/PHHc72PwWDA8K9VQpKTkwEwGo0YjcYCt0OdW6z+SPr1M2A0Okb3tulnY4mfkdaio+Htt904d86XrVvTHWYhLEd6jkxmzVK7EKKjM/DwAEdomiM9T8WLQ6dOrixf7sLatWV56SX7b5OJIz1PAEuXZjF+fDNSU7Po3t1ybcrrz8ci74QHDx6kUaNGeHt7AxAeHk7sA+bdHDx4kFatWqH7//7Ihg0bMnLkyPve56OPPmLcuHH3XL9u3TrzYxfEypUVuHOnJhUrJpKQsIXffivwIW3K+vXrtY5gEU2a1OGPPx7hgw/iGTZsn9ZxLMpRnqObNz1YsaItANWrb+W335I1TmRZjvI81a4dxPLlTdi8uTS//roWT89MrSNZlKM8T5980phjx0qwfPkJvL2PWuy4qampebqdRQqF5ORkypUrZ/5ap9Ph6upKYmIi/rksQpCcnEz16tXNX/v6+nLx4sX7Ps7IkSN5/fXX7zpGWFgYbdu2xdcC5wkefxwaNzZw9uxx2rRpg16vL/AxbYHRaGT9+vUO0yY/v0z++AO2by/NDz+UdIh9AxztOZo0yYXMTBeqVLnByy8/6hBtAsd7np58EhYsyOKff/TcuNGG/v0dY7yCIz1P//wDBw/q0ekU3n8/jIoVyz34Tnlk6pV/EIsUCm5ubnh4eNx1naenJ6mpqbkWCv+9j+n29+Ph4XHP4wDo9XqL/DLo9dC3r5HffrtqsWPaEkdpU+PGUK7cTc6c8eP77/UMG6Z1IstxhOcoKwvmzFEvt2sXh15fy+7b9F+O8DyZ9O+fyciRMHeunkGDHKNQMHGE58k03K9u3WtUrBhg0fbk9VgW+a0ICAggPj7+rutSUlJwd3fP830edHshTHQ6aNfuLCArNdqidesgLg78/BSaNr1/L6HQ3vPPZ+HmlsmePS7sc6wzeXbvzh2YN0+93LZtnGY5LFIoREREsGPHDvPXcXFxGAwGAu7TJ/zf+xw4cIDQ0FBLxBFOoEWLCxQponD8uLoUrbAdpn0devfOwsMjS9sw4oGCgqBx48tA9nMnbMPKlXDtGoSEKDRocFWzHBYpFFq0aEFSUhILFiwAYOLEibRu3RpXV1eSk5NzHFnZqVMntm7dysaNG8nIyGDy5Mm0M22WLsQDeHtn0LOn+iY0Y4bGYYTZhQvw66/q5f79pUiwF+3axQGweLHs0GpLTIVb375ZuLlp13VqkULBzc2NWbNmMXDgQIKDg1m2bBkTJ04E1BkQq1evvuc+gYGBfPrpp7Rr146QkBBiYmIYNWqUJeIIJ/HSS+ob0U8/qVW30N6cOZCZCS1aQLVqWqcReVWjxnWqVFG4dUstFoT2Tp6EP/5QF8d64QVti26LjVyJiori5MmTzJo1i6NHj1KjRg1APQ0RFRWV430GDx5MbGwsc+fO5dChQwQHB1sqjnACdetCRIQ6P/8B63uJQpCRAd98o16WfR3si06X3QMk435sg2nDrvbt4ZFHtM1i0SGuoaGhdO7cmaCgoDzfp2LFikRGRlpkeqNwPqY3pFmz1NH2Qju//aaeeiheHLp10zqNeFjqmBI4cAB279Y6jXNLT88exGgLRbdjzYURTic6Gnx91bnGf/yhdRrnNn26+v8LL6hbggv7EhCQvUOrDGrU1k8/wfXrEBYGTz2ldRopFISdK1IEevdWL8uLm3ZOn4a1a9XLtvAJSOSPaS+VH35Qd5YU2jAN0H75ZXB11TYLSKEgHIDpjWnlSrh8WdsszmrWLPW8dtu2UKGC1mlEfjVpAjVqQGoqLFyodRrnFBMDW7eqBcKLL2qdRiWFgrB7tWqpL3AZGTB3rtZpnI/BkP1zHzRI2yyiYHS67MJ75kwZ1KgFU89oVBSEhGgaxUwKBeEQTC9us2er0/NE4Vm+XN15NTQUOnbUOo0oqN69wctL/WS7fbvWaZzL7dvw/8sRmU8D2QIpFIRDePpp8PeHs2ezz5WLwmE6n/rSS+DmGDuzOzU/P3WQMMi4n8L2ww+QnAwVK0KrVlqnySaFgnAIXl7Qp496WV7cCs+RI+oS2q6u0L+/1mmEpZh66JYsgRs3tM3iTExF94AB6kJLtsKGoghRMKYXt1Wr4Px5bbM4C1NR1qmTeupBOIaGDaF2bXX8iakrXFjXnj3qP3d36NtX6zR3k0JBOIyqVaFly7u3ORbWc/s2fPutelkGMToWGdRY+ExF99NPQ2Cgtln+SwoF4VBMA4Bmz1ZnQQjrMZ1PrVABnnhC6zTC0p59Vl2n5Ngx+OsvrdM4tqSk7D02bGkQo4kUCsKhdOmiVuOXLkEOe5EJCzKtxDhwoG2dTxWW4esLvXqpl2WHVutauFBdu6JGDWjaVOs095I/b+FQPDygXz/1sgxqtJ49e2DvXvXnbWvnU4XlmD7dLlsGV69qm8VRKUp2ITZwoHrax9ZIoSAczssvq////jvExWkaxWGZehNs8XyqsJx69aBRI3WH1tmztU7jmP76S12zwssLnntO6zQ5k0JBOJyKFaF1a7VSl14Fy7t5E77/Xr1si+dThWUNGaL+P3OmjPuxhqlT1f+fe05dw8IWSaEgHNLgwer/s2erW7YKy1mwANLSspfOFo7t6achKEjdQvyXX7RO41guXlRXNoXsgswWSaEgHFJkJJQpo27V+sMPWqdxHFlZ2Z+ABg2yzfOpwrI8PNRVNyH7uReWMWuWuuR88+bquhW2SgoF4ZDc3LLn9n/1lcwDt5S1a+HkSShWLHt7b+H4TCsFbtwIsbFap3EMd+5knxodOlTbLA8ihYJwWP37q5+G9u2DHTu0TuMYvvpK/b9fP/Dx0TaLKDxlykDnzurlr7/WNouj+OkndSZJSIg6rduWSaEgHFZgYPY8cOkyLbiTJ2HNGvV0gy2fTxXWYXrOFyxQF9oSBWN6TRo4EPR6bbM8iBQKwqGZuvSWLoUrV7TNYu9MnyTbt1dnlgjn0qqVukz6rVvw3Xdap7Fv+/bBtm1qgWCazm3LpFAQDq1ePXVkvtGoDhwS+XPrFsybp15+5RVtswht/LsnaepUGfdTEKaiu3t3KFlS2yx5IYWCcHimXoUZM9QBROLhmbqbK1eGNm20TiO08vzz6tiUY8dg/Xqt09in69ez93Ww9UGMJlIoCIfXrZtatV++DD//rHUa+6Mo2YMYhw6VfR2cma8vvPCCevmzz7TNYq9Ma7vUqQONG2udJm/kT144PHf37C1zv/hC2yz2aMMG9ROkjw/06aN1GqG1V19VT0P8/jscPap1Gvty50520T1smP2sQyKFgnAKAweqBcP27TJV8mH9e0qkr6+2WYT2KlTIniophffDWbpU3dm2ZEmIjtY6Td5JoSCcQsmS8Oyz6uUpU7TNYk+OH4dff1U/+djL+VRhfcOGqf8vWKCecxcPpijZrz1DhqhrvNgLKRSE0xg+XP3/p59kV8m8Mr2wRUaqAxmFAGjRAurWVff8kI3X8uavv9RpkZ6e9reZmhQKwmnUqgVt26r7FUiX6YPFx6ufGAHeeEPbLMK26HTZhffUqTKbKC9Mgz+ff97+tmaXQkE4lddfV///5htIStI2i62bNk0dnR0RAc2aaZ1G2JoePbJnEy1dqnUa23bqFKxcqV42nbaxJ1IoCKfSti3UqKEuIDR7ttZpbFdaWvaiMCNG2M/obFF43N2zF2D67DNZgOl+vvxS/fk89RRUq6Z1modnkUIhJiaGiIgI/P39efPNN1Hy+BsTGRmJTqcz/2vdurUl4giRK50uu1fhyy/VFRvFvb77Tj318Mgj6joUQuRkwAD1nPveveo5eHGvmzdh7lz1sum1x94UuFAwGAxERkZSv3599uzZQ2xsLPPnz8/Tfffu3cvhw4dJTEwkMTGRlaa+GSGsqFcvKFECzp9XBzaKu2VlZQ9ifO01dctuIXISFJS9tsbEidpmsVWzZsHt2+oYqSee0DpN/hT4JWDNmjUkJSUxZcoUvL29mTBhAkOGDKFfv373vd+FCxdQFIWaNWvm+bEMBgMGg8H8dfL/b2FmNBoxWuijoek4ljqeLXC0NhW0Pa6uMHCgC++/78rkyVl07Zqpede6LT1Hq1frOH7cjWLFFPr0ych3r4sttclSpE33eu01mD3bjTVrdOzZY6R2bUumyx9beZ7S0+Gzz9wAHa++mkFGRv7Oz1irPXk9nk7J63mCXIwbN46dO3fy22+/AaAoCsWLF+fGjRv3vd/y5csZOHAg7u7uJCYmEhkZyfTp0/H398/1PmPHjmXcuHH3XL948WK8vb0L0gzhZJKS3HnppbbcuePKuHHbqF07XutINmPUqCbExAQRFXWSvn1jtY4j7MDkyfXZurU0zZtfYMSIvVrHsRm//16WGTNqExiYyvTpG9DrbWsgR2pqKr169SIpKQnf+6ymludCISoqik2bNt1zvaurK9HR0XxtGvkEBAUFceLEifu+6U+cOJHNmzczefJkXFxc6NevH3Xr1mX69Om53ienHoWwsDASEhLu28iHYTQaWb9+PW3atEFv65uE55GjtclS7Rk+3IWvv3alZcss1q/PtGDCh2crz9GOHTpatHDDzU3hxIkMSpfO/7FspU2WJG3K2YED0LChHhcXhSNHMqhQwbIZH5YtPE8ZGVC9uhtxcTo++yyTIUOy8n0sa7UnOTmZwMDABxYKeT71MHPmTNLS0u65/osvvkD3n35bT09PUlNT71sovPPOO7zzzjvmrydNmkT37t3vWyh4eHjgkcNyVnq93uK/DNY4ptYcrU0Fbc/bb6vnDzdvdmH3bheaNLFguHzS+jkynWfu00dHuXKWyaF1m6xB2nS3iAh48kn4/Xcdn3+uZ8YMC4fLJy2fpyVL1IXdgoLg5Zdd0etdC3xMS7cnr8fK82DG4OBgypYte8+/kiVLEh9/d7dtSkoK7u7uDxXYz8+PhISEu3oMhLCmsDB18ROADz/UNost2LcPfvtN3R3yXzW8EHkycqT6/7x56toKziwrK7voHjYM7P3MeIFnPURERLDjX7vsxMXFYTAYCAgIuO/9unfvftf9du/eTcmSJXPsMRDCWt55R31j/O032L9f6zTaMhVLPXtCxYraZhH2p3lzddvkO3fg88+1TqOtX3+FI0fUTdQGD9Y6TcEVuFBo0aIFSUlJLPj/tV4nTpxI69atcXVVu1mSk5NzHFkZHh7O8OHD2blzJ6tWrWL06NEMdoSfqLArFSuqK8wBTJigbRYtxcTA8uXqOhPvvqt1GmGPdLrsXoXp09X1A5yRomS/lgwZAn5+msaxiAIXCm5ubsyaNYuBAwcSHBzMsmXLmPivCbXh4eGsXr36nvuNHDmS6tWr06ZNG4YNG8agQYMYafotE6IQmd4Yf/oJjh7VNotWTC9s3bpB9eraZhH2q0MHdeXTlBR1Dwhn9OefsGuXuhCVPS7XnBOLrMwYFRXFyZMnmTVrFkePHqVGjRrm78XFxREVFXXPffR6PXPmzCE5OZlTp04xZswY3GRlF6GBmjWhc2f1k4AzLhpz4oQ68Argf//TNouwby4u2b9DkydDYqK2ebRgOoXXv7+6sJsjsNheD6GhoXTu3JmgoCBLHVKIQmN6cVu0CE6f1jZLYfvoI3XwVWQk1KmjdRph7555Ru1VSErKXuHTWfzxB2zcCHq9Y+24KptCCYE6vatdO8jMhPfe0zpN4TlzRt3XAaQ3QViGqyu8/756+fPPISFB0ziFRlGy/4YGDlT3SXEUUigI8f9MXYaLFsHhw9pmKSxjxqjFUdu28OijWqcRjqJLF6hbV92l9eOPtU5TOFatgp07wcvL8QYES6EgxP+rXx+6d1c/GYwapXUa6zt4UC2KQD39IISl6HQwfrx6eepUx19XISsr+zXjtdegZElt81iaFApC/Mv48WrX6S+/wLZtWqexrpEj1aKoRw+oV0/rNMLRPPUUNGoEaWmOX4j++CMcOqSum/Dmm1qnsTwpFIT4lypVoG9f9fK776pvpI5o82ZYs0bdQtr0yU8IS/p3r8LMmeq27o4oI0M9hQdqkfCAtQbtkhQKQvzHe++Bh4f6ZrpundZpLE9R1H0uAF56SVZhFNbTqhU89pi6WqNpgKOj+fZbOHlS3dPhtde0TmMdUigI8R9hYeqKaqD2KmTlf9M3m7RihTroyts7+5OQENbw716FuXPVFUAdSXo6jBunXh45EooW1TaPtUihIEQOTH/0+/ap5x8dRUZG9ojs1193vEFXwvY0bQpdu6oFt6Odv//sM/WUSunSMGiQ1mmsRwoFIXIQGAhvvaVefvttdUCWI5g3D44dg+LFHe9FW9iuSZPURYh+/x3WrtU6jWVcuZK99PmkSeqSzY5KCgUhcvH661CmDJw7py5Ha+9u3szuTRg1Sh2hLURhqFgRhg5VL48YATnsE2h3Ro1S14l49FF1x1VHJoWCELnw9s5eLOajj+x/1PZ776mr5FWrlj0GQ4jCMmqU2pN15Ah8/bXWaQpm7151zAWoq0/qdJrGsTopFIS4j2eegWbN1FMPI0ZonSb/YmKyX5y//FLtBhaiMAUEZK+n8N57ate9PcrMVMcjKAo8+6y6VoSjk0JBiPvQ6eCrr9Rd8ZYuVc+x2pusLBg8WH2B69oVWrfWOpFwVi++qO6rkpycPQbI3syeDbt3q6fuHOGUZF5IoSDEA9Spkz0/evBgSE3VNM5DmzsX/voLihRxvt38hG1xcVF7tnQ6dTOyP/7QOtHDuXZNnREF6rRPZ5k1JIWCEHnw/vvqFKgzZ+CDD7ROk3dXrmTPbvjgA8fa0U7Yp4gIteAGePll+yq8X3lFHRRct65jT4f8LykUhMgDHx91cxuATz5Rux5tnaJkv7DVr69eFsIWTJigFt6nT9vPol/Ll6trqri6wjffqMufOwspFITIo86dITpaPdfft6+6Kpst++EHWLZMfUGbPdu5XtiEbfP1hRkz1MuffWb7G7DduJHdC/L22863iZoUCkI8hKlTITgYYmPVkdu26uLF7Be20aPVrlIhbEmHDtC7tzrYtndvSEnROlHOFAUGDICrV9WpxaNHa52o8EmhIMRDKF48+5PQJ5/Ahg3a5slJVhb066eecoiIyB58JYSt+eordVGz06dh2DCt0+Rs3rzsnrlvv3XsFRhzI4WCEA8pKkrddVFR1E9CV69qnehuH30E69eDlxcsWCBrJgjbVayYOvtBp1Nn5/zwg9aJ7nbiRPbYnvHj1cLbGUmhIEQ+fP45VK+uzip4/nl13IIt2LQpe3DY119D1aqaxhHigVq0yF5avH9/9bSeLbh1C7p1U2dltGrl3HujSKEgRD54e8OSJeqn9nXrsl/otHT+vLrmfFYW9Omjnn4Qwh6MHau+Gd++rb45az1eQVHUxaFiYtS1Er77Tl0Dwlk5cdOFKJiaNWHOHPXyxx/DokXaZbl1Czp1Uns4ata0/7X0hXNxc4Pvv4dSpdTdTaOj1S3RtTJpkjoV0s1NHZ9QqpR2WWyBFApCFEDPntmDBV98ETZvLvwMmZnqWIkDByAoCH79VV2FUQh7UqIE/PyzOljwt9/U1VAVpfBzLFqU/Tf95ZfQtGnhZ7A1UigIUUDjx6sDHA0G9VP9/v2F99hZWerAyhUrwN1d/b9s2cJ7fCEsqWFD9Y1ap4Np09SFmQrThg3Zp+xef925Vl+8HykUhCggFxdYvFgdlJWcDE8+qZ7btDZFUaeUzZuXnaFJE+s/rhDW1LUrfPqpennUqOyt3q3tjz/UQt9oVE99fPJJ4TyuPZBCQQgL8PKCX35RFza6dg1atrTuMs8ZGWpPwldfqV/Pn68OAhPCEQwfnr2nyttvw4cfWvc0xO+/Q8eO6nby7durf0/OPHjxv+RHIYSFFCumdl0++qi65GurVrBqleUfxzQyfM4c9cXsm2/UMQpCOJJRo9TZEKbLL7+sftq3tJkzITJSXZK9c2d1TwcPD8s/jj2TQkEICwoIUIuFJ55QZyJERsK4cepYAks4elQ9j/vLL+qL2U8/qYMohXBE772n9pqZCuI2beDCBcscOz0dhg6FgQPVHrpnn1VnOkiRcC8pFISwMB8fddT2kCHq12PHquMXjh3L/zEzMtQR2A0aqAvShISoBUlUlCUSC2G7hg5VB+kWKaLOKqpdW13DpCCnIvbsUTd2Mk0jnjBBXSvB3d0ikR2OxQqF69evU65cOeLi4vJ8n82bN1OtWjUCAwOZMmWKpaIIoTl3d3UDqfnz1cLh77/VF7gRI+Dy5bwfJytLLToaNFCni6Wmqr0V+/dDs2ZWiy+ETYmMVH/nGzRQT+tFR6vF9/btD3ecuDh1MbKGDdXeuZIlYfVqdTqkTmeV6A7BIoVCQkICHTt2fKgiIT4+nk6dOtGzZ0+2b9/OokWL2LhxoyXiCGEz+vSBI0fgqafgzh2YMgXKlVPHFPzyi3p64r8URX0R++QTdfGkDh3g4EHw91c3pFq7Vt3BUghnUqmSWnCPHasOHt66VZ3lExGh/l3880/OvQzx8bB0qTqjoWJFdf8TRYFevdTZSe3bF3pT7I5FdqiPjo4mOjqaHTt25Pk+ixYtIiQkhNGjR6PT6RgzZgxz5szh8ccfz/U+BoMBg8Fg/jo5ORkAo9GI0UKjXEzHsdTxbIGjtcne2hMSonadrl2rY8IEF3bscGHhQli4UP1++fIKJUu6kJLShLFjXTlzRiEpKfvjTdGiCi++mMWbb2YRFKT2MlhqzIM12dvzlBfSJm3pdOpy6b17w/vvu/L99zr27NGxZ4/6/eBghdBQBT8/Fy5ebM5rr7ly9uzdx2jdOosPPsiifn21qrCDZlvtOcrr8XSKUvBJJ6dPn6Z8+fLodDrOnDlD2Tys+NKvXz+8vLyYNm0aAJcvX+aJJ54g9j47gowdO5Zx48bdc/3ixYvx9vbOd34hCouiwIkT/mzdGsr27SEkJOT8e+vmlkmtWglERFylZcvzFCmi4Xq2QtiopCR3/vyzDLt3B3PiRAAZGTl3kpcuncKjj17m8cfPU7p0Dt14Tio1NZVevXqRlJSEr69vrrfLc6EQFRXFpk2b7rl+/PjxDB06VD3YQxQK3bp1o1GjRrz5/1ty3b59m1KlSpGUlJTrfXLqUQgLCyMhIeG+jXwYRqOR9evX06ZNG/QOsj+vo7XJkdoTHw8xMTri4zPZt+8wjRrVolIlF8qXV7tX7ZkjPU8m0ibbdfs2HDum4/JluH49k3/+OcDjj9embl1X/Py0Tlcw1nqOkpOTCQwMfGChkOdTDzNnziQtLe2e6wMCAvIV0M3NDY9/zUPx9PQkNTX1vvfx8PC46z4mer3e4r/g1jim1hytTY7QnlKl1H9Go4KPz0Xat69t9236L0d4nv5L2mR7/PygUSP1stGo8NtvV3j88Xp23ab/svRzlNdj5blQCLbw6KmAgADi4+PNX6ekpOAuc1OEEEIIm6LZOgoRERF3DX48cOAAoaGhWsURQgghRA6sXigkJyfnOLKyU6dObN26lY0bN5KRkcHkyZNp166dteMIIYQQ4iFYvVAIDw9n9erV91wfGBjIp59+Srt27QgJCSEmJoZRo0ZZO44QQgghHoJF1lEwyWkCxf0WYRo8eDBt27bl6NGjtGzZ0mIzF4QQQghhGRYtFPKjYsWKVKxYMV/3NRUmpoWXLMFoNJKamkpycrLDjJZ1tDY5WntA2mQvpE32wdHaZK32mN47H7RKguaFQkGkpKQAEBYWpnESIYQQwj6lpKRQrFixXL9vkZUZtZKVlcWlS5coWrQoOgvt6GFaxOn8+fMOcyrE0drkaO0BaZO9kDbZB0drk7XaoygKKSkplCpVCheX3Ics2nWPgouLC6VLl7bKsX19fR3iF+zfHK1NjtYekDbZC2mTfXC0NlmjPffrSTDRbB0FIYQQQtg+KRSEEEIIkSspFP7Dw8OD9957L8c9JeyVo7XJ0doD0iZ7IW2yD47WJq3bY9eDGYUQQghhXdKjIIQQQohcSaEghBBCiFxJoSCEEEKIXEmhIIQQQohcSaEghLC4mJgYIiIi8Pf3580333zgWvJCCNslhcL/++ijj4iIiKBo0aKUKFGCqKgojh8/rnUsi0hJSSEiIoI6depQq1YtZs+erXUki6latSo6nS7Hf19++aXW8fLl6NGjBAQEUKFCBerUqYOPjw+PPfaY1rHyzGAwEBkZSf369dmzZw+xsbHMnz9f61gFYu/PSU4c5W/HkV7fbPZ9SBGKoihKu3btlHnz5ikxMTHKgQMHlA4dOihlypRRbt26pXW0AsvIyFBu376tKIqi3L59WylXrpySkJCgcSrLiI2NVQDljz/+UC5fvqycO3dOcXNzU5YuXaqkp6drHS/f2rZtqxw6dEhRFEWpUKGCkpaWpnGivPv5558Vf39/8+/cgQMHlKZNm2qcquDs+TnJiaP87TjS65utvg9JoZCLa9euKYCyefNm83VVqlRRgBz/ffHFFxqmzbvr168rZcqUUeLj45XY2FjF399fKV++vFK7dm2lSJEiSsuWLbWO+FD+/PNPxc3NzfzCtn//fgVQrly5onGygilbtqxiMBiU5ORkpXLlylrHeShjx45VnnrqKfPXWVlZir+/v4aJLMOen5OcOOLfjqO9vv33fUir9yA59ZCLpKQkAAICAszX/fzzzwD88ccfXL58mXPnzuHm5sbSpUsZMGCAJjnz6ubNm9SuXZvSpUvz1ltvERgYSLVq1YiIiGDFihUcOHCAkiVL8vvvv2sdlbFjx+baJWr6t2fPHgAOHz5M5cqVzSuWHThwgKCgIIKDg7VsQoEkJyfj5eWFu7s7MTExVK9eXetIDyU5OZly5cqZv9bpdLi6upKYmKhhqoKx9+ckJ470t2NPr28P47/vQ1q9B9n17pHWoigKr7/+Os2aNaNmzZrm669cuYKbmxtNmzbFw8ODAwcOkJGRQfPmzW1+qVA/Pz8OHjzI1atX6dq1K927dyc4OJgTJ05QpUoVUlJScHV1xdPTU+uoDB06lOjo6PvepmzZsgAcOnSIWrVqma8/cOAA4eHh1oxndUeOHDG/ER09epTKlStrnOjhuLm53fP34OnpSWpqKv7+/hqlKhh7f05y4kh/O/b0+pZXOb0PafUe5NA9Cg/zyfTfhg4dyqFDh/j+++/vut4RKvDg4GDCw8PZsmWLzX5KCgwMpGrVqvf9Z/qDP3To0F0vbvb8YmcSGxtLjRo1AChSpAhr1qzhxo0bGqfKu4CAAOLj4++6LiUlBXd3d40SFZy9Pyc5ccS/HXt4fcurnN6HtHoPcugehYf5ZGryyiuv8Msvv7BlyxZKly591/fstQK/evUqXl5e+Pr6kpyczJYtWxg0aJDdf0rKysriyJEjjBkzxnzd6dOn6dKli4apCu7FF180X+7Rowc9evTQMM3Di4iI4JtvvjF/HRcXh8FguOs0nr2x9+fkvxzpb8cRX99yex/S6j3IoXsUHuaTqaIoDB06lOXLl/Pnn3/edY7VxF4r8AsXLtCiRQtq165Ns2bNGDp0KOHh4Xb/Kemff/4hNTX1ruegdu3ajB07li1btmiYLGf57eGyNy1atCApKYkFCxYAMHHiRFq3bo2rq6vGyYSJvf3t3I8jvb496H1Iq/cg2T3y/w0ePJjFixezcuVKqlSpYr6+WLFieHl5kZWVRdGiRVmyZAkdO3YEoEyZMowYMYLXXntNq9jCjiQkJJCQkHDf25QtWxYvL6/73sYe/mRXrFhBr169KFq0KJmZmWzevNn8om2PdDrdfb9vD8+JsH33ex/y8PDQ7j3IavMp7Ay5TDmZN2+eoiiKcuLECQVQzp49a75Px44dFT8/v7umUBam9957L9fcpn+7d+/WJJvIv3PnziktW7ZUqlWrptSqVUv58ccftY6ULxcuXFBWrFihXLt2TesoBeYoz4mwbfd7H9LyPUh6FOyYpT6h5kZ+NbRx+fJlrl69Sp06dbh27Rr16tXj+PHjFClSROtoTkueE9v1oN6e3MjrW9459GBGRxcYGEhgYOADb/fvP4jz58/Tu3dvrl27hpubG6NHj+bpp5+2ZkzxkEJCQggJCQGgRIkSBAQEcOPGDXlT0pA8J7ZLXt+sTwoFJ+Pm5sbnn39+1yej9u3bywuejdqzZw9ZWVmEhYVpHUX8P3lObJe8vlmHFApORj4Z2Y/r16/z/PPP3zXVUGhLnhPbJq9v1uHQ0yPF/cknI9tlMBjo0qULI0eOpEmTJlrHEchzYm/k9c1ypEfBScknI9ulKAp9+/alVatW9O7dW+s4AnlO7I28vlmWzHpwQgaDgTZt2vDSSy/Ji54N2rp1Ky1atLhrIZXvvvvurhXZROGS58R+yOub5Umh4GQURaFXr15UqVKFsWPHah1HCCEsRl7frEMKBScjn4yEEI5KXt+sQwoFIYQQQuRKZj0IIYQQIldSKAghhBAiV1IoCCGEECJXUigIIYQQIldSKAghhBAiV1IoCCGEECJXUigIIYQQIldSKAghhBAiV1IoCCGEECJXUigIIYQQIldSKAghhBAiV1IoCCGEECJXUigIIYQQIldSKAghhBAiV1IoCCGEECJXUigIIYQQIldSKAghhBAiV1IoCCGEECJXUigIIYQQIldSKAghhBAiV1IoCCGEECJXUigIIYQQIldSKAghhBAiV1IoCCGEECJXUigIIYQQIldSKAghhBAiV1IoCCGEECJXUigIIYQQIldSKAghhBAiV1IoCCGEECJXUigIIYQQIldSKAghhBAiV1IoCCGEECJXUigIIYQQIldSKAghhBAiV1IoCCGEECJXUigIIYQQIldSKAghhBAiV1IoCOGkJk6cyKRJk0hJSSnQcTIyMti5cycGgyFPt09KSmLDhg3cvHnT/PWyZcu4fPlygXIIIaxDCgUhnNCBAwcYPXo0o0aN4vz587ne7tq1a+zZs4fDhw8TExNDTEwMiYmJd93m9OnTNG7cmI0bN+bpsY8dO0abNm04ffo0AFeuXOHpp5/m0KFDD7xv165dmThx4l3Xbd68mSpVqrBx40YyMjK4ePFinnIIIfJGCgUhnExKSgrR0dFERETwxhtv0Lp1a44fP57jbdeuXUuHDh3o2LEjHTt2pHbt2qxevZq0tDQMBgOKolC5cmU6duxo7pnIyMggNTUVo9GY4zG9vb0B8PPzA6BIkSIAeHh43Df3sWPHWLFiBeHh4XddX6xYMU6cOEFAQABTp06lUaNGXLlyJc8/DyHE/UmhIIQTMRqN9OzZk+vXr7N48WI++ugjunbtSoMGDZgzZ849t+/duzdXr17l7NmzxMXF4e/vj4+PD126dCE4OJgSJUpQtGhRdu3axSuvvELJkiUJCgoiICCAxYsX55hBp9MB4OLycC8/77//Pv369aN9+/Z3nS4xFRze3t68+uqrNG3alGPHjj3UsYUQ96EIIZxCSkqKEhkZqRQrVkzZt2/fXd/7/PPPFVdXV6Vu3brKd999p6SkpOR4jOLFiysrV640f33nzh0lKChI+f7773N93L/++ksBFL1er3h4eCju7u4KoLi7uyseHh6Kh4fHXd83fT1p0iTzMTZt2qQEBQUp8fHxypkzZxQfHx9l2bJliqIoypkzZxRA2bdvn7Jnzx5l9uzZSnR0tNK3b9+C/LiEEP9PehSEcAJ//fUX9evXZ//+/axbt466deve9f3BgwezceNGPD096d27N/7+/gwaNIjMzEx0Op353/Xr18nMzDTf7+eff8bPz49OnToBoCjKPY/t6ekJwLp160hPT2fv3r0AHD9+nPT0dE6dOnXX92/dugVkn4o4duwYvXr1YtKkSXh6ejJ+/HjKlStH8eLF+eSTTxgxYgQAjz76KP369eOvv/6iVq1aPPPMM5b8EQrhtNy0DiCEsJ7MzEx69+7N999/T+fOnXnuued49NFHc7zto48+yvbt21mzZg1ff/01gwYNMs9kOHfuHP7+/gB4eXkBkJWVxfjx45k+fbp53EHPnj1p2rQpr7zyivm4rq6u+cpuut/WrVu5dOkSL7zwAoMHD8ZoNLJr1y7++usvtm/fTvPmzVmxYgWrV6+mTZs25vvfuXOHxMREc24hRP5IoSCEA3N1deXtt9+mc+fO9OjRg9TUVP755x+8vLz4448/6N27N5cvXyYjIwNQxw+0b9+e9u3bA3D9+nUASpQocc9gw2nTplGpUiWeeOIJAE6cOMHy5cuJjIy863amMQn51atXLypVqkSDBg147bXX8PX1pV69etSrV4/XXnsNgA8//JDY2FhSU1M5dOgQ27ZtY8uWLbz11lu89957BXp8IZydTsmpr1AI4VAMBgNubm53fbpftWoVkZGRd50uyMrKwmAwmHsNTpw4QbVq1UhKSjLfxtPTkxUrVvDcc88xb948HnnkEdLT0xk/fjzNmjXj/fffv+uxDxw4QN26ddHr9bi4uKAoCnfu3MHd3d1cRBgMBvP3TV9/9dVXDB061HycTZs20a9fP2JiYihSpAh//vknixYtIjY2lt27d+Pp6Ul4eLj5X+3atalduzY+Pj6W/4EK4USkR0EIJ9CnTx+WLFmS4/dy+sRvKh4SEhLIysqiaNGi5u/9+OOPXLp0CYPBwKBBgwgJCSEhIYHGjRszbty4XDOsW7eOxx57jJiYGGrVqsXx48cpW7YsFy5cICwszPz9jIwM9Hr9Xffdt28f0dHRzJo1i7S0NM6ePcudO3coU6YMXbp04ddffyUxMdGcLTo6mkaNGkmRIIQFSKEghBOYMGECo0aNwsXFxfypfdOmTQwaNIijR48CcOnSJUqWLElaWpr5fk2aNLmrx6Fo0aKEhITw5JNP8vTTT1OqVCnOnDlD//79Wbx4cYFPM+REURQ6duzI1atX6dq1KwBlypTh9OnTPPnkk4A67XPIkCHEx8cTFRVFfHy8eVCkEKJgZNaDEE6gfPny1KhRg2nTpvH1119TtWpVSpcuDUDVqlVJT0+nQ4cOnDx5kvr16+d4jMzMTG7fvk1gYCBFixalVKlSJCQkMGjQIBYsWICPjw9nz56lRo0aFl0dUafT8c0337B582ZzT4JpVUeTtm3bkpycTM2aNbl9+zbbtm2jRYsWFssghDOTQkEIJ5CcnEy3bt2YNWsWderUuef7derUYcSIETz99NMsX748x2Ncv34dRVEoUaIEACdPnqRjx45MnDiR0NBQAB555BGCgoL48ssvzfezxDCo9u3bU6tWLS5cuMDMmTPp27cvH3/8sfn7e/fuRa/XEx8fz/LlywkJCZEeBSEsRasFHIQQhWPXrl1KuXLllOLFiysbN25UFEVRLl68qHz66afKf18CXnjhBcXNzU1Zt26d+bpbt24pCQkJyowZMxQfHx9FURTl22+/VYoUKaKEhoYqDRs2VCpVqqQEBQUp7u7uire3t+Lv76+kpqaaH598LLj0xRdfKIqiKAcPHlSKFSumAEpAQIDSqVMnZeLEicrhw4eV5ORk5e2331b0er3y5ptvKpUqVVI6deqkGI1G5Z133lFat25dCD9hIRybjFEQwsEFBQVRq1YtPvvsM8qXLw/A6NGjmTt3LjVq1LjrttOnT6dUqVJ3ddubTifodDrz4kbBwcE899xz1K1blwoVKlCqVClKliyJn58fN2/epGTJkqxbt47OnTub12IwDVZ8ENNgxvT0dADCw8MZO3Ys9evXp0mTJuaZG++99x5fffUVXl5e/Prrr7Rr144XX3yRFi1aUKNGDS5cuMCAAQMK/PMTwtnJ9EghnNCxY8eIi4ujadOmd81oyM2GDRsIDw83n3Z4kKtXrxIcHFzQmPf1yy+/sG3bNt599118fX3N158+fZqhQ4fi4uLCkiVLzJtOCSHyRwoFIYQQQuRKBjMKIYQQIldSKAghhBAiV1IoCCGEECJXUigIIYQQIld2PT0yKyuLS5cuUbRoUassHSuEEEI4KkVRSElJoVSpUual3XNi14XCpUuXCAsL0zqGEEIIYbfOnz9vXtI9J3ZdKJjmf58/f/6uedQFYTQaWbduHW3btr1nBzt75WhtcrT2gLTJXkib7IOjtcla7UlOTiYsLOyBa6nYdaFgOt3g6+tr0ULB29sbX19fh/gFA8drk6O1B6RN9kLaZB8crU3Wbs+DTt3LYEYhhBBC5EoKBSGEEELkyqKFwvXr1ylXrhxxcXF5uv3mzZupVq0agYGBTJkyxZJRhBBCCGEBFisUEhIS6NixY56LhPj4eDp16kTPnj3Zvn07ixYtYuPGjZaKI4QQQggLsNhgxujoaKKjo9mxY0eebr9o0SJCQkIYPXo0Op2OMWPGMGfOHB5//HFLRXpoJ6+fZPbe2cRfiyfhUAI1g2tSN6Qu7q7ummUSwp4kpSdx+NphjiUcI/5WPMeuHuPsnrNUD65OzRI1KelTUuuIQtiFLCWL2PhYDl09xJXkK+y4vIMiZ4vQumLrQs9isUJh1qxZlC9fnmHDhuXp9gcPHqRVq1bm0ZYNGzZk5MiR972PwWAw720P6tQOUEeEGo3G/AX/d6bLB/lk+ycAzL80HwAvNy8ee+Qx+tbuS8dKHdG72t8IWtPPxhI/I1vgaO0B+27T7Tu3WRSziJ+O/sSWc1vIVDLv+v6CywvMl+uVrEdUlSj61u5rl0WDPT9PuZE22Q5FUdh6fitzD8zlt1O/kZieeNf3K56uSMtHWlrs8fL687H4NtM6nY4zZ85QtmzZ+96uW7duNGrUiDfffBOA27dvU6pUKZKSknK9z9ixYxk3btw91y9evBhvb+8C5QY4nXqaP2/8SUpmCjeNNzmddpqUzBTz94vrixNdMppWAa1w1bkW+PGEsGdpmWmsjF/J6vjVd/2dBOmDCPMMo5hbMXQ6HbcybnHRcJFLhksoqC83ep2eJwKe4JmSzxCgD9CqCULYBEVR2J+ynwWXFhCXHme+3sPFgwpeFQjQB+Dr5ku9ovVoUKyBxR43NTWVXr16kZSUdN8lBjQrFHr06EHTpk159dVXAcjMzMTT0/O+FU5OPQphYWEkJCRYdB2F9evX06ZNG1zdXImNj+X7I9+z4NACrt6+CkCNoBp80/Eb6ofUt8hjWtu/2+Qoc4odqT1gf21adXIVr619jfPJ5wGo4F+Bl+q+ROcqnangXwG4t03Xbl9j9cnVzD04l50XdwJQ1L0o4x8bz8v1XsbVxfaLb3t7nvJC2qSt88nnGfTbINadXgeAj7sPPar3oHet3kSUikDvqrdae5KTkwkMDHxgoaDZgksBAQHEx8ebv05JScHd/f5jATw8PPDw8Ljner1eb/FfBtMx64bWpW5oXT5o9QHTdk/jgy0fcCT+CM2/bc57Ld9jZLORdvECB9b5OWnJ0doDtt+mNGMar6x5hTn75wBQ1q8sE5+YSPfq3XP9OzC1KdQvlJcjXualBi+x5ewW3trwFrsu7uK1da/x84mf+aHbDwT7BBdmc/LN1p+n/JA2Fb4fYn5g0OpB3Ey/iburO680fIV3m79LgFfOvWyWbk9ej6XZOgoRERF3DXw8cOAAoaGhWsV5IA83D4Y3Hs7JV07ydPWnycjKYPTG0UQtieLWnVtaxxPC6uJuxtF0blPm7J+Di86Ft5q8xZHBR+hRs8dDFcs6nY6WZVuy7YVtfN3+a3zcfdgUt4l6s+qx/fx2K7ZACNuQmZXJG+veoOdPPbmZfpOGoQ05POgwk9tOzrVI0JLVC4Xk5OQcTyd06tSJrVu3snHjRjIyMpg8eTLt2rWzdpwCK+5dnCXdlzC/83w8XD1YdWIVzec152LyRa2jCWE1MddiaDKnCfuv7CfQO5C1z61lUptJeOvzPzbI1cWVwRGD2dV/F9UCq3Ep5RKtFrRi1YlVFkwuhG1JNabS7cdufLr9UwD+1/x//P3C31QuXlnjZLmzeqEQHh7O6tWr77k+MDCQTz/9lHbt2hESEkJMTAyjRo2ydhyL0Ol09KnTh019N1GiSAkOXDnAY98+xoXkC1pHE8Lidl7YSYt5Lbh86zI1S9Rk38v7aF3eclO0qgVVY9dLu+hYuSPpGelE/RDFwkMLLXZ8IWxFqjGVTt93YuXxlXi4erC462LGtxqPm4ttb7tk8UJBUZS7BjLGxcURFRWV420HDx5MbGwsc+fO5dChQwQH28f5SZNGpRux48UdlPUry6kbp3hsvhQLwrHsv7yftgvbkpieSOPSjdnSdwthxSy/tbuPuw/Ln1lO7/DeZCqZ9FnRh6VHllr8cYTQiqlI+OPMH/i4+7Cu9zp61uqpdaw80Xyvh4oVKxIZGWmxWQuFrZx/OTb12UQ5v3L8k/gPTy58kpvpN7WOJUSBHU84TruF7Ug2JNO8THPW916Pv5e/1R5P76pnftR8Xqr3EllKFs8uf5bfT/1utccTorBkZmXS66de5iLh92d/p8UjLbSOlWeaFwqO4BG/R9jYZyOlipbiSPwRuizpgiHD8OA7CmGj4m/H025hO+JT46kXUo9fe/5KEfciVn9cF50L0ztMp0eNHhizjHT7sRv7L++3+uMKYS2KovDa76+ZTzf81us3mpZpqnWshyKFgoU84vcIv/X6jaLuRdkUt4mXV72MhZeoEKJQ3Mm8Q9cfu3I26SwV/Cvw+7O/U8yzWKE9vquLKwu6LKBN+TakGlPp/ENnrty6UmiPL4QlfbHzC77e/TU6dCzsupDmjzTXOtJDk0LBgmqXrM1Pz/yEq86VBQcXMG33NK0jCfHQhqwewtZzW/H18OXXnr8SVCSo0DO4u7rz49M/Url4Zc4nn6frkq7SSyfszua4zbyx7g0AJredTPfq3TVOlD9SKFhYmwpt+LjNxwAMWzuMbee3aZxIiLz79sC3fLP/G1x0LvzQ7QeqBVXTLIufpx+/9vwVP08/tl/Yztsb3tYsixAP62LyRZ5Z9gyZSibPhT/H8EbDtY6Ub1IoWMHwRsPNizI9s/QZbqTd0DqSEA8UGx/L4N8GAzDusXE8VekpjRNB5eKVWRClbir1xc4vWHFshbaBhMiDzKxMei3vxbXb1wgPDmdmx5nmDRDtkRQKVqDT6ZjTaQ6VAipxMeUiA1cNlPEKwqalGdPosawHqcZUWpdvzchm99/JtTBFVonk9UavA9BvZT/OJZ3TOJEQ9/fx3x+z5ewWfNx9WPb0sgItTGYLpFCwkqIeRVnUdRFuLm4sjV3KgoMLHnwnITQyeuNoYq7FEFwkmO+6fGdz+5d81PojGoY25Gb6TV785UUpvIXN2n1xN2M2jQFg6lNTqVS8ksaJCk4KBSuKCI3g/cfeB2DomqHySUjYpK3ntjJl+xQAvun0DSV9Smqc6F7uru4s7LIQLzcvNpzewIw9M7SOJMQ90jPS6f1zb/W0c41neL7281pHsggpFKzsraZv0SSsCbfu3GLAqgHySUjYlNt3btN3RV8UFPrV6UfHyh21jpSrSsUrMbH1RADeWP8G/9z4R+NEQtzt/c3vc/z6cUr6lGR6h+l2PS7h36RQsDJXF1fmdJqDh6sHv5/6ne8Ofad1JCHMxm4ayz+J/xDmG8Zn7T7TOs4DDW04lMfKPkaqMZWBq2Xsj7Ad+y7v4+O/1Rlv0ztMt8ldIPNLCoVCUDWwKu+1fA+AYb8P49rtaxonEgIOXDnAZzvU4mBGxxmFuqhSfrnoXPgm8hs83TzZcHoDiw8v1jqSEGRkZdD/l/5kKpk8U+MZoqpGaR3JoqRQKCRvNHmDOiXrkJieyDsb3tE6jnBymVmZDFg1gEwlk6erP037Su21jpRnFQIqMLrFaACGrx0u04+F5qbvns7+K/vx9/Tnyye/1DqOxUmhUEj0rnqmtVdXapx3YJ4sxCQ0NXvfbHZd3IWvhy+fP/m51nEe2htN3qB6UHXiU+MZucF2pnIK53P11lVGbRwFwIQnJhDsY1+7IOeFFAqFqHFYY16o8wIAg1cPJiMrQ+NEwhklpiUy6k/1hW384+MpVbSUxokenrurOzM6qDMfZu+bLRtHCc28teEtkg3J1A+pz0v1XtI6jlVIoVDIJraeiL+nPwevHuSbfd9oHUc4ofc2vcf1tOvUCKrBoIhBWsfJt+aPNCe6ZjQKCq/+/qoMbBSFbseFHSw4uAAdOqZ1mGZz649YihQKhSyoSBDjHhsHwJiNY0hKT9I4kXAmMddizJuVffnUl7i5uGmcqGA+bv0x3npvtp7byg8xP2gdRzgRRVEYvlbdv6Fvnb40DG2ocSLrkUJBAwMbDKRK8SrEp8Yz4a8JWscRTuSdDe+QqWTStVpXWpVrpXWcAgsrFmZebvrdP9+VHSZFoVlyZAk7LuygiL4I41uN1zqOVUmhoAG9q57JbScD8PnOzzmTeEbjRMIZ/HX2L1afXI2bixsTn5iodRyLeb3x65QqWoq4m3HM3DtT6zjCCaRnpJt3M3276dt2Oc7nYUihoJEOlTrQunxr7mTe4b1N72kdRzg4RVF45w91Wm7/uv0dYv15E2+9t3mdkvFbxpNiSNE4kXB003dP51zSOUr7lmZEkxFax7E6KRQ0otPp+OiJjwBYeGghsfGxGicSjmzViVVsO78NLzcvRrccrXUci+tXpx+VAioRnxpvXkRKCGu4decWH21VX7vfa/me3e8MmRdSKGioQakGdKnaBQVFehWE1WRmZfLun+8C8NqjrzlkN6neVW8+Tzx522Tib8drnEg4qi93fkl8ajwVAyrSp3YfreMUCikUNPb+4++jQ8ey2GUyF1xYxeLDi4m5FoOfpx9vNX1L6zhW0716d+qF1CPlTor5E58QlnQz/SafbPsEgLEtx6J31WucqHBIoaCxmiVq0rNWTwBGb3S8LmGhLUOGwfx79U7Td/D38tc4kfW46FzMp/O+3v01Z2+e1TiRcDSfbvuUm+k3qRFUg+ia0VrHKTRSKNiAsS3H4qpzZfXJ1Ww/v13rOMKBzNw7k7NJZwnxCeGVR1/ROo7VtSnfhsfLPi6DhIXFxd+O5/OdnwPwweMfOOziSjmRQsEGVCpeib51+gKY1wwXoqDSM9LNXfBjWo5xikFX/x4k/N2h7zh145TGiYSjmPT3JG7duUX9kPoOtzvkg0ihYCPGtByDu6s7f575kz/P/Kl1HOEA5u6fy5VbVwjzDeOFui9oHafQPFr6UZ6q+BRZShaTtk7SOo5wAJdSLvH17q8BGN9qPDqdTuNEhUsKBRtRplgZBtQfAMC4zeM0TiPsnTHTyKS/1TfJt5u+jburu8aJCteoFmrP3LcHv+V80nmN0wh79/HfH5OekU6zMs1oV6Gd1nEKnRQKNuTtpm+jd9Gz5ewW2YZaFMjCQws5l3SO4CLBTtWbYNIkrAmPlX0MY5bRPEpdiPxISE1g9r7ZAIxpMcbpehNACgWbEuobap6XK9O7RH5lZmUyYau6h8gbTd7AS++lcSJtjGqu9irM3jebK7euaJxG2Ksvd35JqjGV+iH1aV2+tdZxNCGFgo15q+lbuOhcWHViFYeuHtI6jrBDPx75kVM3ThHgFcDABgO1jqOZVuVa0ah0I9Iz0pmyfYrWcYQdSjYk89WurwAY2WykU/YmgAULhZiYGCIiIvD39+fNN9/M097wkZGR6HQ687/WrZ2zWvu3SsUr0b16dwAmbnWcjXtE4chSssy9CcMeHYaPu4/GibSj0+n4X/P/ATB9z3Sup17XOJGwNzP3zORm+k2qFK9Cl2pdtI6jGYsUCgaDgcjISOrXr8+ePXuIjY1l/vz5D7zf3r17OXz4MImJiSQmJrJy5UpLxLF77zRVN+9ZcmQJ/9z4R+M0wp78cvwXYq7F4Ovh6xTrJjxIh0odqB1cm1t3bvHlzi+1jiPsSHpGOlN2qD1Rbzd9Gxed83bAW6Tla9asISkpiSlTplChQgUmTJjAnDlz7nufCxcuoCgKNWvWxM/PDz8/P4oUKWKJOHavbkhdnqz4JFlKlgzEEnmmKAof/vUhAEMjhuLn6adtIBug0+nMMyC+3PUlyYZkjRMJe/HtgW+5cusKpX1L82z4s1rH0ZSbJQ5y8OBBGjVqhLe3uqBLeHg4sbH33w1x165dZGZmUrp0aRITE4mMjGT69On4++e+xKzBYMBgMJi/Tk5W/+iNRiNGo9ECLcF8HEsdL7/ebPQmv5/6nXkH5vFu03cJ8QnJ97FspU2W4mjtAcu0aVPcJvZc2oOXmxdD6g/R/OdjK89TZMVIqhSvwvHrx5m5eybDHh2W72PZSpssSdp0r4ysDD7++2MAhjccji5LhzFLu5+PtZ6jvB5Pp+RlMMEDjBgxgvT0dL7++mvzdUFBQZw4cSLXN/6JEyeyefNmJk+ejIuLC/369aNu3bpMnz4918cZO3Ys48bdu8bA4sWLzUWKo1AUhZGnRnLs9jGiSkTRt1RfrSMJGzf+9Hj2JO/hyeJPMjDMeQcx5mTd9XVMOz+NIH0QM6rPwFXnPMvvioe3JXELU85OoahrUWZXn42nq6fWkawiNTWVXr16kZSUhK+vb663s0ih8Pbbb2M0GpkyJXtkcVhYGDt27CA0NDRPx9i8eTPdu3cnPj737WFz6lEICwsjISHhvo18GEajkfXr19OmTRv0em13Blt9cjVdlnahqHtRzrxyBl+P/LXRltpkCY7WHih4m44lHCN8Vjg6dBwecJjKxStbIeXDsaXnKc2YRsWvKxKfGs/CqIU8U/2ZfB3HltpkKdKmuymKwqNzH+XA1QO81+I9/tfsf1ZKmXfWeo6Sk5MJDAx8YKFgkVMPAQEBxMTE3HVdSkoK7u55Xw3Oz8+PhIQEDAYDHh4eOd7Gw8Mjx+/p9XqL/4Jb45gPq3O1zlQLrMbRhKMsOLyA4Y2HF+h4ttAmS3K09kD+2zR1z1QAIqtEUqNkDUvHKhBbeJ70ej2DIwYzbvM4vtj1Bb3CexVoqpsttMnSpE2qTXGbOHD1AF5uXrza6FWb+plY+jnK67EsMpgxIiKCHTt2mL+Oi4vDYDAQEBCQ6326d+9+1312795NyZIlcy0SnJFOp2NYo2GAOhArMytT20DCJsXfjmfBoQUAjGg8QuM0tmtwxGA8XD3YfWk3W89t1TqOsFGf7fgMgD61+xDglft7mDOxSKHQokULkpKSWLBAfbGaOHEirVu3xtXVleTk5BwHTISHhzN8+HB27tzJqlWrGD16NIMHD7ZEHIfSO7w3xb2KE3czjhXHVmgdR9ig6Xumk56RToNSDWheprnWcWxWiSIleL728wDmaW9C/NupG6f49fivAOYPacJChYKbmxuzZs1i4MCBBAcHs2zZMiZOVBcLCg8PZ/Xq1ffcZ+TIkVSvXp02bdowbNgwBg0axMiRIy0Rx6F46b3Mq+uZKl0hTNIz0s272o1oPMJpV47Lq9cbvw7AymMrOXn9pMZphK35YscXKCi0r9SeKoFVtI5jMyy2gkRUVBQnT55k1qxZHD16lBo11POkcXFxREVF3XN7vV7PnDlzSE5O5tSpU4wZMwY3N4sMmXA4QyKGoHfR8/f5v9l9cbfWcYQNWXhoIdduX6NMsTLmFT1F7qoGVqVDpQ4oKHy+43Ot4wgbcjP9JvMOzANgeKOCjQdzNBZdaio0NJTOnTsTFBRkycM6vZCiIUTXjAakV0Fky1KyzHsYvNrwVdxcpNDOC1OvwrwD82RZZ2E2e+9sbhtvU6tELZ4o94TWcWyK865JaWdMFe7S2KVcSL6gcRphC9b9s46jCUcp6l6U/vX6ax3Hbjxe9nHqlKxDWkYas/bO0jqOsAEZWRnmzZ+GNxoup/D+QwoFO1E3pC4tH2lJRlYGU3dN1TqOsAGmF7YX6r5AMc9iGqexHzqdzrw64/Q908nIytA2kNDcT7E/cT75PCWKlKBnrZ5ax7E5UijYEVOvwsy9M7l957bGaYSWTt04xZqTawB1DIt4OD1q9iDQO5Dzyef55fgvWscRGvt85+cADG4wGE83x1yFsSCkULAjHSt3pIJ/BW6m32Tx4cVaxxEamrZ7GgoKT1V8ikrFK2kdx+54unnycr2XgeyeGeGcdl/czY4LO3B3dWdQxCCt49gkKRTsiKuLK4MaqL/I0/ZMwwKrbws7dOvOLebunwvAKw1lK+n8GhQxCFedK5viNnH46mGt4wiNmKYX96jRgxJFSmicxjZJoWBn+tXth6ebJweuHGD7he1axxEaWHhoIUmGJCoGVKRdxXZax7FbpX1L06VaFwAZ9+Ok4m/H80PMD4CcwrsfKRTsTIBXAD1rqoNtTJWwcB6Kopjf1IZEDMFFJ3/CBTE0YigACw8vJDEtUeM0orDN2T8HQ6aBBqUa0DC0odZxbJa8ytghU+W79MhSrt66qnEaUZg2xm3kSPwRiuiL0K9OP63j2L0Wj7SgVolapBpTzYvtCOeQmZXJ9D3TAfU1VaZE5k4KBTtUv1R9Hg19FGOWkTn752gdRxQi08C752s/L1MiLUCn05nHeXy9+2vZeM2JrDqxinNJ5yjuVZweNXpoHcemSaFgpwZHqBtozdgzQ+aBO4mzN8+ap/INbThU4zSO49nwZ/H39Od04mnWnFqjdRxRSKbuVk/hvVj3Rbz0XhqnsW1SKNipZ2o8Y54HvurEKq3jiEIwc+9MspQsnij3BNWDqmsdx2F46715se6LgAxqdBbHEo6x4fQGdOhkSmQeSKFgpzzdPM0vbtN2T9M4jbC2O5l3zKeZTL1JwnJMbxbr/lnH6cTTGqcR1mZ6zYysEklZv7LahrEDUijYsYENBqJDx/rT6zlx/YTWcYQVrTi2gmu3rxHiE0Jk5Uit4zic8v7laVehHQqK7P/g4FIMKcw/MB+QKZF5JYWCHSvrV5YOlTsA0qvg6GbunQmo51P1rnqN0zimgQ0GAjB3/1wMGQaN0whrWXx4MSl3UqgUUInW5VtrHccuSKFg50wV8fwD82X/Bwd14voJ/jzzJy46F16q/5LWcRxWx8odCS0aSnxqPMuPLtc6jrACRVHMRfeA+gNkHZI8kp+SnWtboS0VAyqSZEiS/R8clKkr/KmKT1GmWBmN0zguNxc3XqqnFmIz9s7QOI2whj2X9rD/yn48XD3oU6eP1nHshhQKds5F52Le/+Hr3V/L/g8OJj0j3bwQkKlrXFhP/3r9cdW5suXsFo5cO6J1HGFhM/aoBWD36t0J9A7UOI39kELBAfSt0xdPN08OXj3ItvPbtI4jLOin2J+4kXaDMN8wnqr4lNZxHF6obyidqnQCsseFCMeQlJ7ED0fUfR0G1B+gcRr7IoWCAwjwCqBXzV4A5iVJhWMwdYG/VO8lXF1cNU7jHEw9N98e/FbG/TiQhYcWkmpMpXpQdZqVaaZ1HLsihYKDMM0DXxa7jITUBI3TCEs4cu0IW89txVXnyov1XtQ6jtNoXb41FfwrkGxINu8sKOyboijmontA/QGyr8NDkkLBQTQo1YD6IfUxZBr49sC3WscRFmDq+u5UpROlipbSOI3zcNG5mLumZVCjY9h+YTsx12LwdPOkd3hvrePYHSkUHIipy9S01K+wX6nGVBYcXADI+VQt9K3TF3dXd/Zc2sOeS3u0jiMKyFR0R9eMxt/LX+M09kcKBQcSXTMaXw9fTt44ycYzG7WOIwpgScwSkgxJlPMrR5sKbbSO43SCigTRvXp3IHukvLBPN9JusCRmCSBFd35JoeBAfNx9eK7Wc4B0mdo70yegl+u/LIvCaMQ07Xjx4cXcTL+pbRiRbwsOLsCQaSA8OJxHQx/VOo5dklcgBzOggVoxrzi2gssplzVOI/LjwJUD7Ly4E72Lnn51+mkdx2k1DWtKjaAapGWk8d3B77SOI/Lh3ysxDqw/UAYx5pMUCg4mPDicJmFNyMjKYO7+uVrHEfkwc4/6wtalWheCfYI1TuO8dDqdedzPjL0zZDEzO/TXub84lnCMIvoiPBv+rNZx7JYUCg5oYH31xW3WvllkZmVqnEY8jBRDCgsPLwSyn0ehnd7hvfHWexMbH8vWc1u1jiMe0uz9swHoWbMnvh6+GqexX1IoOKDu1bsT4BXAuaRzrP1nrdZxxENYEruEW3duUbl4ZR4r+5jWcZxeMc9i9KzZE5CVGu1NckYyPx//GZDlzwtKCgUH5KX3om/tvoCM2LYniqIwa5+6AZQsCmM7TCPll8YulcXM7MifN/7kTuYd6ofUp36p+lrHsWtSKDiol+u/DMDqk6s5l3RO4zQiL06lneLA1QPqzna1ZWc7W9GgVAPqlqzLncw7fHdYBjXagywli7UJam+qTIksOIsVCjExMURERODv78+bb76Zp4E/mzdvplq1agQGBjJlyhRLRRFAlcAqtCrXiiwli7kHZFCjPfg94XcAnq7xNMW9i2ucRpj8e1DjN/u/kUGNdmBT3CYu37lMUfei9KzVU+s4ds8ihYLBYCAyMpL69euzZ88eYmNjmT9//n3vEx8fT6dOnejZsyfbt29n0aJFbNwoiwRZkqmSnndwHhlKhsZpxP3cTL/J1pvqYDkZxGh7etbsiY+7DydvnCTmVozWccQDmAYx9qrZCx93H43T2D+LFApr1qwhKSmJKVOmUKFCBSZMmMCcOXPue59FixYREhLC6NGjqVSpEmPGjHngfcTDiaoaRYkiJbh86zK7k3ZrHUfcx+KYxRiyDFQPrE6TsCZaxxH/UdSjKM/WUqfXrb0uA4Rt2ZVbV1h5YiUA/ev21ziNY3CzxEEOHjxIo0aN8Pb2BiA8PJzY2NgH3qdVq1bmAVsNGzZk5MiR972PwWDAYDCYv05OTgbAaDRiNBoL0gQz03EsdTwt6dDRt3ZfPt72Mb9f/50xxjFaR7IIR3qO4O5BjC/WfpGMDMfo/XG05+mF2i8wc+9MdiTt4OLNi4T6hWodySIc7Xn6Zu83ZGRlUMW7CtUDqjtEu6z1HOX1eBYpFJKTkylXrpz5a51Oh6urK4mJifj757wBR3JyMtWrVzd/7evry8WLF+/7OB999BHjxo275/p169aZixRLWb9+vUWPp5UKhgro0HEw5SALVi0gxCNE60gW4yjP0dFbR4lNiMVd507w1WB+++03rSNZlKM8TwCVvCtxMvUk7/38Hl2Du2odx6Ic4XnKUrL46uhXALQt3tYh2vRvlm5Pampqnm5nkULBzc0NDw+Pu67z9PQkNTU110Lhv/cx3f5+Ro4cyeuvv27+Ojk5mbCwMNq2bYuvr2UW0zAajaxfv542bdqg1+stckyt/ZT+E+vOrONE0RO82PpFreMUmKM9R0t/WQpAc//mdHmqi0O0CRzveQK4VPISg38fzF+pfzHrqVkOsQ+HIz1Pa/9Zy7WD1/Dz8KOZfzOHaBNY7zky9co/iEUKhYCAAGJi7h7gk5KSgru7+33vEx8fn+fbA3h4eNxTkADo9XqL/zJY45haGVB/AOvOrOO7w9/xUZuP8HC792dojxzhObqeep1lR5cB0K54O4do0385Upt61uzJG+ve4EzSGbac3+JQO3s6wvM056A6zu25Ws/hkeHhEG36N0u3J6/Hskg5HBERwY4dO8xfx8XFYTAYCAgIyPN9Dhw4QGioY5zzszVPVXyK4vriJKQlsPzocq3jiH8x7WxXJ7gOlbwraR1HPEAR9yI8FvAYICs12ppLKZf49fivgAxitDSLFAotWrQgKSmJBQsWADBx4kRat26Nq6srycnJOQ6Y6NSpE1u3bmXjxo1kZGQwefJk2rVrZ4k44j/cXNxoW7wtINtP25J/72z3Ut2XZCVGO2H6W1p5fCVXbl3ROI0wmbNvDplKJs3LNKd6UPUH30HkmUUKBTc3N2bNmsXAgQMJDg5m2bJlTJw4EVBnQKxevfqe+wQGBvLpp5/Srl07QkJCiImJYdSoUZaII3LQOqA1rjpXtpzdQmz8/WekiMKx+exmjl8/jo+7D9E1orWOI/KorFdZGpduLDu02pCMrAxm71PXTpCVGC3PYiNxoqKiOHnyJLNmzeLo0aPUqFEDUE9DREVF5XifwYMHExsby9y5czl06BDBwbKlrrUUdy9Oh0odgOxtjIW2TPtwPFvrWYp6FNU4jXgYpq7tWXtlh1ZbsObkGs4nn6e4V3G6Ve+mdRyHY9Ehu6GhoXTu3JmgoKA836dixYpERkZabNaCyN3L9dT9H749+C2pxrxNixHWce32NfN4EfkEZH+6V+2Ov6c/Z5POsu6fdVrHcXqmU6r96vTD081T4zSOx/7n9og8a12uNeX8ypFkSGJJzBKt4zi1ufvnYswy0jC0IXVD6modRzwkL70Xz9d+HpBBjVqLuxnHmpNrgOzN8IRlSaHgRFx0LuZPrzKoUTuZWZnmN5dBDQZpnEbkl+lvadWJVVxMvv9iccJ6Zu+djYJC6/KtqVRcZg5ZgxQKTqZf3X7oXfTsuriL/Zf3ax3HKa37Zx1xN+Pw8/TjmRrPaB1H5FO1oGq0eKQFmUomc/bLPjVauJN5x/yzl83UrEcKBSdTokgJ82Af6TLVxvQ90wHoW7sv3nrLLj0uCpepV2H2vtlkZDnGHh32ZMWxFVy9fZUQnxA6VemkdRyHJYWCEzJV3osOLyLFkKJxGudyLukcq0+q04UHNpBPQPauW7VuFPcqzoXkC+bz5KLwmGYO9a/XH72r46zAaGukUHBCLR5pQdXAqty6c4tFhxdpHcepzNo7iywli8fLPk6VwCpaxxEF5OHmQd86fQHpoStsxxKOsTFuIy46F/rXk5UYrUkKBSek0+myBzXumYGiKBoncg7GTCPf7PsGkEGMjsQ00n7NqTWcSzqncRrnMWuvujV7h0odKFOsjMZpHJsUCk7q+drP4+nmycGrB9l5cafWcZyC6XxqSZ+SRFWN0jqOsJDKxSvTqlwrspQscyEorCvNmMb8A/MBOYVXGKRQcFIBXgH0qNEDyD7PJ6zLNIjxxbovyvlUB2Pqoftm3zcYM+/d20ZY1tLYpSSmJ/JIsUdoV0H2CLI2KRScmKkSX3JkCYlpiRqncWz/Pp8qi8I4nqiqUZQoUoLLty6z6sQqreM4PNOHm5frv4yri6vGaRyfFApO7NHQR6kdXJv0jHQWHFygdRyHZtpfQ86nOiZ3V3deqPMCIIuZWdvBKwfZfmE7bi5uvFD3Ba3jOAUpFJyYTqcz9yrM2CuDGq0l1ZjK/IPzATmf6sherv8yOnSs+2cdJ66f0DqOwzL1JnSp2oWSPiU1TuMcpFBwcs/WehYfdx+OJRxjy9ktWsdxSEtilnAz/SZl/crK+VQHVs6/HB0qqzu0Tt89XeM0jinFkMLCwwsBKboLkxQKTq6oR1F61ewFSJeptZh+rgPqD5DzqQ5uSMQQAOYdmMftO7c1TuN4vjv0Hbfu3KJy8co8XvZxreM4DSkUhLky/yn2J67dvqZxGsey7/I+dl3chd5FL+dTnUDbCm2pGFCRJEMSiw8v1jqOQ1EUham7pgJqQabT6TRO5DykUBDUDalLw9CGGLOMzNs/T+s4DmXa7mkAdKvejRJFSmicRlibi87FvJjW1N1TZdyPBW2M28jRhKMU0RehT+0+WsdxKlIoCCB7/4eZe2eSpWRpnMYxXE+9bl4ie3CDwRqnEYWlX51+eLl5cejqIf4+/7fWcRyGqTehT+0+FPMspnEa5yKFggCgR80eFPMoxpmbZ1j3zzqt4ziEOfvnkJ6RTp2SdWhWppnWcUQh8ffyp1ctddzP17u/1jiNYziXdI6Vx1cCMKThEI3TOB8pFAQA3npvc3eevLgVXEZWhvnn+ErDV+R8qpMxDWr8KfYnrty6onEa+zd993SylCxalWtF9aDqWsdxOlIoCDNTpb76xGpO3TilcRr79uvxXzmXdI7iXsXpWbOn1nFEIasbUpfGpRtjzDIye+9srePYtfSMdGbvU3+GQyOGapzGOUmhIMwqF69M+0rtUVD4audXWsexa1/tUn9+L9V7CS+9l8ZphBaGNlTf1GbsnSH7PxTAkpglXE+7TphvGJFVIrWO45SkUBB3ee3R1wB1HniyIVnjNPbp8NXDbIzbiKvOlUERsp20s+pevTslfUpyKeUSy2KXaR3HLimKYi66BzUYhJuLm8aJnJMUCuIubcq3oWpgVVLupJi3cRUPxzQ6O6pqlOzr4MTcXd3Ns10+2/GZTJXMh50Xd7L38l48XD3oX6+/1nGclhQK4i46nY5XG74KqN3nMlXy4SSmJfLdoe8AePXRVzVOI7Q2oMEAPFw92H1pN9svbNc6jt35YucXAETXjCaoSJDGaZyXFAriHs/Xfh4/Tz9O3TjFbyd/0zqOXZmzfw5pGWmEB4fTvExzreMIjZUoUoLnwp8D4PMdn2sbxs6cSzrH0iNLARjWaJi2YZycFAriHkXci9C/rtrNZ6roxYP9e0rkqw1flSmRAsge9/PT0Z84e/Osxmnsx1c7vyJTyaRVuVbUKVlH6zhOTQoFkaMhDYfgonNhw+kNxMbHah3HLiw/upy4m3EEegeaF9wRolZwLZ4o9wRZSpZ5/Iq4vxRDCrP2zQLg9Uava5xGSKEgclTWryydq3QG4Isd0qvwIIqiMHnbZEBdbEemRIp/M3Wdz943m1t3bmkbxg7M3T+XZEMyVYpX4alKT2kdx+lJoSByZXpxW3Bogewq+QB/nfuL3Zd24+nmyeAI2ddB3K19pfZUCqhEkiGJbw98q3Ucm5aZlcnnOz8HYHij4bjo5G1Ka/IMiFw1L9OchqENSc9Ily7TB/h0+6eAumGN7BIp/stF52Ieq/DFzi9kNtF9rDi2gribcRT3Kk7v2r21jiOwUKEQExNDREQE/v7+vPnmm3meLxwZGYlOpzP/a926tSXiCAvR6XS81eQtQF0bQLpMc3Y84Ti/HP8FHTqGNxqudRxho/rU6YOfpx8nb5xk5bGVWsexWVN2TAHUBZa89d4apxFggULBYDAQGRlJ/fr12bNnD7GxscyfPz9P9927dy+HDx8mMTGRxMREVq6UPx5bE1U1iooBFUlMT2Tu/rlax7FJU7arL2yRVSKpElhF4zTCVvm4+zCogbpS56S/J8kCTDnYcWEH285vw93VXXaJtCEFLhTWrFlDUlISU6ZMoUKFCkyYMIE5c+Y88H4XLlxAURRq1qyJn58ffn5+FClSpKBxhIW5urgyovEIQH1DzMjK0DiRbbl2+xrfHlTPOb/R+A2N0whb99qjr+Hh6sHOizvZcnaL1nFsjukUXq9avSjpU1LjNMKkwAtnHzx4kEaNGuHtrXYRhYeHExv74Ol0u3btIjMzk9KlS5OYmEhkZCTTp0/H398/1/sYDAYMBoP56+RkdS8Co9GI0WiZTVdMx7HU8WxBQdvUq3ovxmwcw9mks3x/6Huia0RbMt5Ds6Xn6KsdX2HINBBRKoJHQx7NdyZbapOlSJvuFeARQN/afZm5byYf/fURTUKbWDJevtjK83Qs4Rg/xf4EwKsNXi1QHltpk6VYqz15PZ5OyWP/V1RUFJs2bbrneldXV6Kjo/n666/N1wUFBXHixIn7vulPnDiRzZs3M3nyZFxcXOjXrx9169Zl+vTpud5n7NixjBs37p7rFy9ebC5UhHX8eOVHFl9ZTDmvckypPEUWEwIMWQZeOvISyZnJvPHIGzTzb6Z1JGEHrhiuMPjoYLLIYkrlKZT3Lq91JJvw5bkv+fPGnzT0bci75d/VOo5TSE1NpVevXiQlJeHr65vr7fJcKFy9epW0tLR7rv/iiy/Q6XRMmTLFfF1YWBg7duwgNDQ0z4E3b95M9+7diY+Pz/U2OfUohIWFkZCQcN9GPgyj0cj69etp06YNer3eIsfUmiXadCPtBuWnlifVmMpvPX+jdTntBp7aynP05a4veWPDG5TzK8eRgUcKtLOdrbTJkqRNueu9ojdLYpfwTPVnWBi10IIJH54tPE9nk85SbXo1MrIy2NpnKw1DGxboeLbQJkuyVnuSk5MJDAx8YKGQ51e24ODgHK8vWbIkMTExd12XkpKCu7t7Xg8NgJ+fHwkJCRgMBjw8PHK8jYeHR47f0+v1Fv9lsMYxtVaQNgXrg+lftz9f7vqST3d8ylOVtV8ERcvnKD0jnU93qOdTRzYbiZeHZRZYkt87+1DQNo1sPpIlsUtYdnQZE56YQIWAChZMlz9aPk+f7/qcjKwMnij3BE3LNrXYcR3td8/S7cnrsQo8mDEiIoIdO3aYv46Li8NgMBAQEHDf+3Xv3v2u++3evZuSJUvmWiQI7Q1vPBxXnSt/nPmDHRd2PPgODmzOvjlcvnWZMN8w+tTpo3UcYWdql6zNUxWfIkvJMq/o6ayu3LrCN/u+AeB/zf+ncRqRkwIXCi1atCApKYkFCxYA6tiD1q1b4+rqCqhdGzkNmAgPD2f48OHs3LmTVatWMXr0aAYPlhXtbFlZv7I8X/t5AMZtvnesiLO4k3mHSX9PAuDtpm/j7vpwvWdCALzT7B0A5h2Yx5VbVzROo53Pd3yOIdNAo9KNeKzsY1rHETkocKHg5ubGrFmzGDhwIMHBwSxbtoyJEyeavx8eHs7q1avvud/IkSOpXr06bdq0YdiwYQwaNIiRI0cWNI6wsv81/x+uOld+P/U7Oy/s1DqOJr498C3nk88T4hPCi/Ve1DqOsFPNyzSncenGGDINTturkJiWyLTd0wB4t9m7MkjaRllkZcaoqChOnjzJrFmzOHr0KDVq1DB/Ly4ujqioqHvuo9frmTNnDsnJyZw6dYoxY8bg5lbg2ZrCyioEVHDqXgVjppGPtn4EwJtN3sTTzVPjRMJe6XQ6RrcYDcDXu7/mcspljRMVvqm7ppJyJ4Xw4HA6Vu6odRyRC4vt9RAaGkrnzp0JCgqy1CGFjTL1Kqw5tcbpehUWH17MmZtnCPIOYkCDAVrHEXbuyYpP0rh0Y9Iz0s0FqLNISk8yb/40stlI6U2wYbIplHhoztqrkJmVyYStEwAY0XiErEMvCkyn0/HB4x8AMHPvTM4nndc4UeH5dPun3Ei7QdXAqjxd/Wmt44j7kEJB5Isz9ip8H/M9J66fIMArQLaSFhbTqlwrWj7SkjuZd/jwrw+1jlMort2+Zt4jZfzj43F1cdU4kbgfKRREvlQIqGDeAtYZehUMGQZGb1TPJ49oPIKiHkU1TiQcxb97Febsn8OZxDMaJ7K+iVsnctt4m/oh9elaravWccQDSKEg8u3fvQrbzm/TOo5Vzdgzg7ibcYT4hDCs0TCt4wgH0/yR5rQp34aMrAw+2PKB1nGs6nzSefNMhwlPTJCxCXZACgWRbxUDKtK3Tl8A3lj3hsNum5uUnmR+8R732DgZmyCswtSrsODgAk5eP6lxGut5f/P7GDINtHykJW3Kt9E6jsgDKRREgbz/+Pt4673ZfmE7y2KXaR3HKiZvm8z1tOtUKV6FfnX7aR1HOKhHSz9Kh0odyFQyeW/Te1rHsYoT108w78A8QHoT7IkUCqJAShUtxZtN3gTgnT/ewZBheMA97MvllMtM2aEOuvroiY8KtPGTEA8yvtV4dOj4PuZ7dl/crXUcixuzcQyZSiYdK3ekSZj2W2yLvJFCQRTYG03eoKRPSU4nnjafe3QU4zaPI9WYSuPSjYmqGqV1HOHg6pSsY556PGLdCIc6nbf30l6WHFkCqDMdhP2QQkEUmI+7j/kP/4MtH3Aj7YbGiSzjeMJx82Y1k1pPkm5SUSjGtxqPp5snf537i5XHV2odxyIUReG1318D4Nlaz1K7ZG2NE4mHIYWCsIi+dfpSs0RNEtMTGb/FMT4tvLXhLTKVTCIrR9L8keZaxxFOorRvaUY0HgGog4Qd4XTej0d+5O/zf+Ot92Zi64kPvoOwKVIoCItwdXFlcht1Y5upu6byz41/NE5UML+d/I1fjv+Cm4sbk1pP0jqOcDJvN32bEJ8Q/kn8x7wwkb1KM6bx1oa3ALVdpX1La5xIPCwpFITFtKvYjrYV2mLMMjJs7TC7Pb9qyDCYu0lfe/Q1qgVV0ziRcDZFPYrySZtPABj/13i7Xtr5o60fcS7pHKV9S/NGkze0jiPyQQoFYVGft/scvYueVSdW2e351Snbp3DqxilK+pRkTMsxWscRTqpXrV40K9OMVGMqI9aN0DpOvpy4foJJf6s9cp+1+0zWILFTUigIi6oWVM08XfLVNa9y684tjRM9nFM3TvH+lvcB+KTNJ/h6+GqcSDgrnU7HV099hYvOhaWxS1l9YrXWkR6KoigMXj2YO5l3eKriU3Sr1k3rSCKfpFAQFve/Fv+jrF9Zzief572N9rNwjKIoDFw1kPSMdFqXb82ztZ7VOpJwcnVK1mF4o+EADFo9iBRDisaJ8m7R4UX8ceYPPN08mdp+qswasmNSKAiL89Z7M629up7CZzs+s5t9IL49+C1/nPkDLzcvZnSYIS9swiaMe2ycufAe9ecorePkyZVbV3h1zasAjG4xmvL+5TVOJApCCgVhFU9Veoo+tfugoPDCyhdIM6ZpHem+LiRfYPha9ZPbuMfGUSGggsaJhFAVcS/CzI4zAfhq11dsObtF40T3Z+qZS0xPpF5IPfOpSGG/pFAQVvNZu88I8Qnh+PXj5i2abVGWkkXfFX25mX6ThqENGd54uNaRhLhL2wptebHuiygoPP/z8yQbkrWOlKvFhxez8vhK9C565nWeh95Vr3UkUUBSKAir8ffyZ1bkLAA+3f4p6/5Zp3GinE3dNdV8yuG7Lt/Jfg7CJn3W7jPK+ZXjbNJZhv0+TOs4OTqdeJrBvw0GYFSLUYQHh2ucSFiCFArCqjpW7sigBoMAeP7n57l2+5rGie62//J+3lqvLgYzue1kKhevrHEiIXJW1KMoC7osQIeOeQfmsfjwYq0j3cWYaaTXT71INiTTNKwp7zZ/V+tIwkKkUBBW92nbT6kRVIOrt6/S++feZGZlah0JgJvpN3l66dMYMg13FTRC2KpmZZoxqoU6oPHlX1/maPxRjRNl+9+f/2PnxZ34efqxqOsi6ZlzIFIoCKvz0nvxQ/cf8HLzYt0/62xi5HaWkkW/lf34J/EfyvqV5duob2WWg7AL77V8j1blWnHbeJtuP3azibVKlsQs4ZNt6kqS30R+wyN+j2icSFiSFAqiUNQsUZO5necCMPHvifx45EdN87y38T1WHFuBu6s7S59eSoBXgKZ5hMgrVxdXFnddTIhPCEcTjtLrp16a9tIdvHKQfiv7AepeDt2qy8JKjkYKBVFoomtG81YTdTxAnxV9+Pvc35rkWHBwAeP/Une4nNlxJg1KNdAkhxD5FewTzPIey/Fw9eDXE7/y5nptpiCeTzpPx+87kpaRRrsK7fiw1Yea5BDWJYWCKFQTnphAh0odSM9IJ/L7SI5cO1Koj//7qd/p/0t/AN5t9i596/Qt1McXwlIalW7Et1HfAurCZoW9y+SNtBu0W9iOC8kXqBpYle+7fY+ri2uhZhCFQwoFUahcXVz58ekfaVS6EYnpibRb2I6T108WymP/eeZPuizpgjHLSI8aPfig1QeF8rhCWEuPmj2Y0GoCACPWjeDrXV8XyuPeTL9J+0XtOZpwlNCioax9bi3+Xv6F8tii8EmhIAqdt96bVT1XUT2oOhdTLtJifgur9yys/2c9kd9Hkp6RTqcqnfiuy3e46OTXX9i/d5q9w8hmIwEYumYoU3dNterjJaQm0OrbVuy8uBN/T3/WPreWMsXKWPUxhbbklVJoorh3cTb22Uh4cDhXbl2h5fyW/HX2L6s81oKDC2i/uD2pxlTaVWjHj91/lNXihMPQ6XR82OpDXm/0OgCvrHmFdza8Q5aSZfHH+ufGP7Sc35L9V/YT5B3Epr6bqFGihsUfR9gWKRSEZkoUKcHGPhtpGNqQ62nXabWgFTP3zERRFIsc35hp5K31b9FnRR8ysjLoWbMnK6NX4uHmYZHjC2ErdDodk9tOZvzj6iDdSX9PovuP3UlMS7TYY2w4vYGI2RHExsdSqmgptvTbIisvOgkpFISmArwC2NhnIz1q9CAjK4OBqwfSfWl3rt66WqDjnrx+kubzmpvndr/V5C0Wdl0oRYJwWDqdjv+1+B/zO89H76Ln52M/U3dm3QJvIpVqTGXE2hG0/a4tiemJNAxtyO6XdlM1sKqFkgtbZ7FC4fr165QrV464uLg832fz5s1Uq1aNwMBApkwp3BG7wnZ46735vtv3THxiIm4ubiw/upzq06rzxY4vSM9If6hjJRuSeWfDO9SYVsO8StxPz/zEpDaTZEyCcAp96vRh24vbqOBfgbNJZ2k5vyXPLn+W80nnH+o4WUoWPx75kdozajNlxxQUFF6s+yKb+26mVNFSVkovbJFFXjkTEhLo2LHjQxUJ8fHxdOrUiZ49e7J9+3YWLVrExo0bLRFH2CGdTsfbzd5m90u7qVOyDjfSbjBs7TAqfFmBcZvG3XdmRJaSxf7L+3l1zauETgll0t+TMGYZaVehHfsH7Kdrta6F2BIhtNegVAP2DdjHS/VeQoeOxYcXU/7L8vT6qRcbz2zkTuadXO979dZVvtr5FbVn1KbHsh6cunGK0KKhrOq5im86fYOnm2chtkTYAossxh0dHU10dDQ7duzI830WLVpESEgIo0ePRqfTMWbMGObMmcPjjz9uiUjCTtUpWYdd/Xcx78A8xm8Zz/nk84zdPJaxm8dS1q8s9UPqU8qnFJcuXWLt2rWcTznProu77tpsqlpgNSa1nkTHyh1lWWbhtHw9fJkVOYsB9Qfwxvo32BS3ie9jvuf7mO/xcfehcenGlPUri7+nP8cuHmPJyiUcvHaQYwnHzAMhfT18eb3R6wxrNIxinsU0bpHQikUKhVmzZlG+fHmGDRuW5/scPHiQVq1amV/IGzZsyMiRI+97H4PBgMFgMH+dnKzuyW40GjEajQ8fPAem41jqeLbAHtvUL7wfvar3YunRpfxw5Ac2nNlA3M044m7GZd/oXxtRFtEX4YlyTzCw/kCeKPsEOp2OjIyMQs+dX/b4HD2ItMk2hAeFs67XOvZf2c/0vdNZfXI18anxrD+9/u4bxmdfjCgVQXT1aJ6t9ax5eXN7arM9Pk/3Y6325PV4OiWPQ8yjoqLYtGnTPdePHz+eoUOHqgfT6Thz5gxly5Z94PG6detGo0aNePNNdenR27dvU6pUKZKSknK9z9ixYxk3btw91y9evBhvb++8NEPYqVsZtziTdobTaadJzkjGkGXA09WTIH0QpT1LU9m7MnoXmfIoxINkKVmcSTtDXFoc8cZ4bmXcwt3FHW9Xb8p6lqW8d3kC9LL3iTNITU2lV69eJCUl4evrm+vt8tyjMHPmTNLS0u65PiAgf79Qbm5ueHhkj0D39PQkNTX1vvcZOXIkr7/+uvnr5ORkwsLCaNu27X0b+TCMRiPr16+nTZs26PWO8cbjaG1ytPaAtMleSJvsg6O1yVrtMfXKP0ieC4Xg4OB8h8lJQEAA8fHZfV0pKSm4u7vf9z4eHh53FRcmer3e4r8M1jim1hytTY7WHpA22Qtpk31wtDZZuj15PZZm88UiIiLuGvx44MABQkNDtYojhBBCiBxYvVBITk7OccBEp06d2Lp1Kxs3biQjI4PJkyfTrl07a8cRQgghxEOweqEQHh7O6tWr77k+MDCQTz/9lHbt2hESEkJMTAyjRo2ydhwhhBBCPASLTI80yWkCxf0WYRo8eDBt27bl6NGjtGzZ0mIDEoUQQghhGRYtFPKjYsWKVKxYMV/3NRUmeR25mRdGo5HU1FSSk5MdZhCMo7XJ0doD0iZ7IW2yD47WJmu1x/Te+aBVEjQvFAoiJSUFgLCwMI2TCCGEEPYpJSWFYsVyX3kzzwsu2aKsrCwuXbpE0aJFLbZUr2lthvPnzzvMqRBHa5OjtQekTfZC2mQfHK1N1mqPoiikpKRQqlQpXFxyH7Jo1z0KLi4ulC5d2irH9vX1dYhfsH9ztDY5WntA2mQvpE32wdHaZI323K8nwUT23RVCCCFErqRQEEIIIUSupFD4Dw8PD957770cl4q2V47WJkdrD0ib7IW0yT44Wpu0bo9dD2YUQgghhHVJj8L/tXd/IU21cRzAv+JBHWa5sTTBRBOcVjopdpOmEf2hMsgoDMEIIqJYBEVBF9Xu6rK6LTAKihLSuqkbBUd3Ca2lE4WiTFDnn3KmNbD93psc73p3zL/vs3P8fuCAOy74yuPze37PWedIREREutgoEBERkS42CkRERKSLjQIRERHpYqNAREuus7MTLpcLVqsVly5d+uuz5IkocbFR+O3GjRtwuVzIyMhAVlYWDh06hJ6eHtWxlsTExARcLhfKy8tRWlqKu3fvqo60ZIqLi5GUlBT3uHPnjup4C9Ld3Q2bzYbCwkKUl5dj1apV2LFjh+pYcxYOh3Hw4EFs3boVHR0dCAQCuH//vupYi2L0MYnHLHPHTPUtYdchIRER2bt3rzQ2NkpnZ6f4fD45cOCA5OXlyffv31VHW7Tp6WmZnJwUEZHJyUkpKCiQkZERxamWRiAQEADS2toqAwMD0tfXJ5qmSVNTk/z8+VN1vAXbs2eP+P1+EREpLCyUHz9+KE40d83NzWK1WqO/cz6fTyoqKhSnWjwjj0k8Zpk7ZqpviboOsVHQEQwGBYC0t7dHzzkcDgEQ97h9+7bCtHM3OjoqeXl5Mjw8LIFAQKxWq2zYsEGcTqekp6dLdXW16ojz0tbWJpqmRQvb27dvBYAMDg4qTrY4+fn5Eg6HJRQKSVFRkeo48+LxeGTfvn3R15FIRKxWq8JES8PIYxKPGeeO2erbn+uQqjWIHz3oGB8fBwDYbLbouebmZgBAa2srBgYG0NfXB03T0NTUhNOnTyvJOVffvn2D0+lEbm4uLl++DLvdjpKSErhcLrS0tMDn82HdunV49eqV6qjweDy6l0Rnjo6ODgDA+/fvUVRUFH1imc/nw9q1a5Gdna3yR1iUUCgEi8WClJQUdHZ2YuPGjaojzUsoFEJBQUH0dVJSEpKTk/H161eFqRbH6GMSj5nmjpHq23z8uQ6pWoMM/dcjl4uI4MKFC6isrMTmzZuj5wcHB6FpGioqKpCamgqfz4fp6Wls37494R8VmpmZiXfv3mFoaAiHDx/GkSNHkJ2djd7eXjgcDkxMTCA5ORlpaWmqo8LtduPYsWOzvic/Px8A4Pf7UVpaGj3v8/lQVla2nPGWXVdXV3Qh6u7uRlFRkeJE86Np2n/mQ1paGqampmC1WhWlWhyjj0k8Zpo7RqpvcxVvHVK1Bpn6isJ8dqb/5na74ff78fjx45jzZujAs7OzUVZWBq/Xm7C7JLvdjuLi4lmPmQnv9/tjipuRi92MQCCATZs2AQDS09Px8uVLjI2NKU41dzabDcPDwzHnJiYmkJKSoijR4hl9TOIx49wxQn2bq3jrkKo1yNRXFOazM51x7tw5vHjxAl6vF7m5uTHfM2oHPjQ0BIvFgtWrVyMUCsHr9eLMmTOG3yVFIhF0dXXh2rVr0XMfP35EbW2twlSLd/LkyejXdXV1qKurU5hm/lwuF+7duxd9/enTJ4TD4ZiP8YzG6GPyJzPNHTPWN711SNUaZOorCvPZmYoI3G43nj17hra2tpjPWGcYtQPv7+9HVVUVnE4nKisr4Xa7UVZWZvhd0ocPHzA1NRUzBk6nEx6PB16vV2Gy+BZ6hctoqqqqMD4+jgcPHgAAbt68iV27diE5OVlxMpphtLkzGzPVt7+tQ6rWIP71yN/Onj2LR48e4fnz53A4HNHza9asgcViQSQSQUZGBp48eYKamhoAQF5eHi5evIjz58+rik0GMjIygpGRkVnfk5+fD4vFMut7jDBlW1paUF9fj4yMDPz69Qvt7e3Rom1ESUlJs37fCGNCiW+2dSg1NVXdGrRs91MYDHRuOWlsbBQRkd7eXgEgnz9/jv6bmpoayczMjLmF8v90/fp13dwzx5s3b5Rko4Xr6+uT6upqKSkpkdLSUnn69KnqSAvS398vLS0tEgwGVUdZNLOMCSW22dYhlWsQrygY2FLtUPXwV0ONgYEBDA0Noby8HMFgEFu2bEFPTw/S09NVR1uxOCaJ629Xe/Swvs2dqf8zo9nZ7XbY7fa/vu/fE+LLly9oaGhAMBiEpmm4evUqjh49upwxaZ5ycnKQk5MDAMjKyoLNZsPY2BgXJYU4JomL9W35sVFYYTRNw61bt2J2Rvv372fBS1AdHR2IRCJYv3696ij0G8ckcbG+LQ82CisMd0bGMTo6iuPHj8fcakhqcUwSG+vb8jD17ZE0O+6MElc4HEZtbS2uXLmCbdu2qY5D4JgYDevb0uEVhRWKO6PEJSI4ceIEdu7ciYaGBtVxCBwTo2F9W1q862EFCofD2L17N06dOsWil4Bev36NqqqqmAepPHz4MOaJbPT/4pgYB+vb0mOjsMKICOrr6+FwOODxeFTHISJaMqxvy4ONwgrDnRERmRXr2/Jgo0BERES6eNcDERER6WKjQERERLrYKBAREZEuNgpERESki40CERER6WKjQERERLrYKBAREZEuNgpERESki40CERER6WKjQERERLrYKBAREZEuNgpERESk6x++hoHgmH9qEgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 600x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6,6))\n",
    "x=np.linspace(-np.pi*2,np.pi*2,200)\n",
    "y1=np.sin(x)\n",
    "plt.subplot(2,1,1)\n",
    "plt.grid()\n",
    "plt.yticks(np.arange(-1,1.5,0.5))\n",
    "plt.xticks(tk,lb)\n",
    "plt.title('正弦曲线')\n",
    "plt.plot(x,y1,c='b')\n",
    "\n",
    "y2=np.cos(x)\n",
    "plt.subplot(2,1,2)\n",
    "plt.grid()\n",
    "plt.xticks(tk,lb)\n",
    "plt.yticks(np.arange(-1,1.5,0.5))\n",
    "plt.title('余弦曲线')\n",
    "plt.plot(x,y2,c='g',label='cos(x)')\n",
    "plt.subplots_adjust(wspace=0.5,hspace=0.5)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f799944b190>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6,9))\n",
    "x3=np.linspace(-np.pi/2+0.01,np.pi/2-0.01,100)\n",
    "y3=np.tan(x3)\n",
    "plt.title('正切曲线')\n",
    "plt.grid(axis='x',linestyle='--')\n",
    "plt.xticks(tk,lb)\n",
    "plt.xlim(-np.pi,np.pi)\n",
    "plt.ylim(-20,20)\n",
    "plt.plot(x3,y3,c='r',label='tan(x)')\n",
    "plt.legend()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f79985a3e50>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-2 * np.pi, 2 * np.pi, 10000)\n",
    "y = np.sin(x)\n",
    "\n",
    "ax = plt.gca()\n",
    "#把坐标轴设置到0点\n",
    "ax.spines['bottom'].set_position(('data', 0))  \n",
    "ax.spines['left'].set_position(('data', 0))\n",
    "#隐藏边框线(rgba格式可以设置透明)\n",
    "ax.spines['right'].set_color((0,0,0,0))\n",
    "ax.spines['top'].set_color((0,0,0,0))\n",
    "plt.xticks(tk,lb)\n",
    "plt.grid(axis='x',linestyle=':')\n",
    "#显示分数形式 $\\frac{分子}{分母}$  \n",
    "plt.yticks(np.arange(-1,1.5,0.5),['-1',r'$-\\frac{1}{2}$','',r'$\\frac{1}{2}$','1'])\n",
    "plt.plot(x, y, linestyle=\"-.\", linewidth=2, color='#f63', alpha=0.9, label='y=sin(x)')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
